Sultan Catto

Professor

Weissman School of Arts and Sciences

Department: Natural Sciences

Areas of expertise:

Email Address: sultan.catto@baruch.cuny.edu

> View CV

Education

MPhil, Physics, Yale University

Ph.D., Physics, Yale University

MSc, Physics, Yale University

SemesterCourse PrefixCourse NumberCourse Name
Summer 2024PHY3001General Physics II
Summer 2024PHY3001General Physics II
Summer 2024PHY3001General Physics II
Spring 2024PHY5000Independent Study Physics I
Spring 2024PHY2003General Physics I
Spring 2024PHY2003General Physics I
Spring 2024PHY2003General Physics I
Spring 2024PHY2003General Physics I
Fall 2023PHY2002LFund Of Phy: Theory & Practice
Fall 2023PHY2002LFund Of Phy: Theory & Practice
Fall 2023PHY5000Independent Study Physics I
Fall 2023PHY5001Independent Study Physics II
Fall 2023ENV3002Energy Conservation
Fall 2023ENV3002Energy Conservation
Fall 2023PHY2002LFund Of Phy: Theory & Practice
Summer 2023PHY3001General Physics II
Summer 2023PHY3001General Physics II
Summer 2023PHY3001General Physics II
Spring 2023PHY5000Independent Study Physics I
Spring 2023PHY2003General Physics I
Spring 2023PHY2003General Physics I
Spring 2023PHY2001Fund Of Experimental Phy
Spring 2023ENV5000Independent Study ENV I
Fall 2022ENV3002Energy Conservation
Fall 2022PHY2002LFund Of Phy: Theory & Practice
Fall 2022PHY2002LFund Of Phy: Theory & Practice
Fall 2022PHY2002LFund Of Phy: Theory & Practice
Fall 2022ENV3002Energy Conservation
Summer 2022PHY3001General Physics II
Summer 2022PHY3001General Physics II
Summer 2022PHY3001General Physics II
Spring 2022PHY2001Fund Of Experimental Phy
Spring 2022PHY2002LFund Of Phy: Theory & Practice
Spring 2022PHY2002LFund Of Phy: Theory & Practice
Spring 2022PHY2002LFund Of Phy: Theory & Practice
Spring 2022PHY2002LFund Of Phy: Theory & Practice
Spring 2022PHY2002LFund Of Phy: Theory & Practice
Spring 2022PHY2002LFund Of Phy: Theory & Practice
Spring 2022PHY2002LFund Of Phy: Theory & Practice
Fall 2021PHY2002LFund Of Phy: Theory & Practice
Fall 2021PHY2001Fund Of Experimental Phy
Fall 2021PHY2001Fund Of Experimental Phy
Fall 2021PHY2002LFund Of Phy: Theory & Practice
Fall 2021PHY2002LFund Of Phy: Theory & Practice
Fall 2021PHY2002LFund Of Phy: Theory & Practice
Summer 2021PHY3001General Physics II
Summer 2021PHY3001General Physics II
Summer 2021PHY3001General Physics II
Spring 2021PHY2001Fund Of Experimental Phy
Spring 2021PHY2002LFund Of Phy: Theory & Practice
Spring 2021PHY2002LFund Of Phy: Theory & Practice
Spring 2021PHY2002LFund Of Phy: Theory & Practice
Spring 2021PHY2001Fund Of Experimental Phy
Fall 2020PHY2002LFund Of Phy: Theory & Practice
Fall 2020ENV3002Energy Conservation
Fall 2020PHY2002LFund Of Phy: Theory & Practice
Fall 2020ENV3002Energy Conservation
Fall 2020PHY2002LFund Of Phy: Theory & Practice
Summer 2020PHY3001General Physics II
Summer 2020PHY3001General Physics II
Summer 2020PHY3001General Physics II
Spring 2020PHY2001Fund Of Experimental Phy
Spring 2020PHY2002LFund Of Phy: Theory & Practice
Spring 2020PHYS90000Dissertation Supervision
Spring 2020PHY2001Fund Of Experimental Phy
Fall 2019PHY2001Fund Of Experimental Phy
Fall 2019PHY2002LFund Of Phy: Theory & Practice
Fall 2019PHYS90000Dissertation Supervision
Summer 2019PHY3001General Physics II
Summer 2019PHY3001General Physics II
Spring 2019PHYS85600ST: Advanced Physics
Spring 2019PHYS89900Independent Study
Summer 2018PHY3001General Physics II
Summer 2018PHY3001General Physics II
Spring 2018PHY2002LFund Of Phy: Theory & Practice
Spring 2018PHY2002LFund Of Phy: Theory & Practice
Spring 2018PHY2002LFund Of Phy: Theory & Practice
Spring 2018PHY2001Fund Of Experimental Phy
Fall 2017ENV3002Energy Conservation
Fall 2017ENV4900Capstone: Env Scienc
Fall 2017PHY2001Fund Of Experimental Phy
Fall 2017PHY2002LFund Of Phy: Theory & Practice
Fall 2017PHY2002LFund Of Phy: Theory & Practice
Fall 2017PHY2002LFund Of Phy: Theory & Practice
Summer 2017PHY3001General Physics II
Summer 2017PHY3001General Physics II
Spring 2017PHY3001General Physics II
Spring 2017PHY3001General Physics II
Fall 2016PHY2002LFund Of Phy: Theory & Practice
Fall 2016PHY2001Fund Of Experimental Phy
Fall 2016PHY2002LFund Of Phy: Theory & Practice
Fall 2016PHYS85400Survey of Resrch Opportunities
Summer 2016PHY3001General Physics II
Summer 2016PHY3001General Physics II
Summer 2016PHY3001General Physics II
Spring 2016PHY2003General Physics I
Spring 2016PHY2003General Physics I
Fall 2015PHY2002LFund Of Phy: Theory & Practice
Fall 2015PHY2001Fund Of Experimental Phy
Fall 2015PHY2001Fund Of Experimental Phy
Fall 2015PHY2001Fund Of Experimental Phy
Fall 2015PHYS85400Survey of Research Opp CUNY
Fall 2015PHY2002LFund Of Phy: Theory & Practice
Fall 2015PHY2002LFund Of Phy: Theory & Practice
Fall 2015PHY2002LFund Of Phy: Theory & Practice
Fall 2015PHY2002LFund Of Phy: Theory & Practice
Fall 2015PHY2001Fund Of Experimental Phy
Summer 2015PHY2002LFund Of Phy: Theory & Practice
Summer 2015PHY1003Concepts in Physics
Summer 2015PHY2001Fund Of Experimental Phy
Summer 2015PHY2001Fund Of Experimental Phy
Summer 2015PHY2002LFund Of Phy: Theory & Practice
Summer 2015PHY2002LFund Of Phy: Theory & Practice
Spring 2015PHY3001General Physics II
Spring 2015PHY1003Concepts in Physics
Spring 2015PHY3001General Physics II
Fall 2014PHYS85400Survey Res Opport at CUNY
Fall 2014PHY1003Concepts in Physics
Fall 2014PHY2003General Physics I
Summer 2014PHY2002LFund Of Phy: Theory & Practice
Summer 2014PHY2002LFund Of Phy: Theory & Practice
Summer 2014PHY2001Fund Of Experimental Phy
Summer 2014PHY2001Fund Of Experimental Phy
Summer 2014PHY2002LFund Of Phy: Theory & Practice
Summer 2014PHY2001Fund Of Experimental Phy
Summer 2014PHY2002LFund Of Phy: Theory & Practice
Spring 2014PHY5000Independent Study Physics I
Spring 2014PHY5000Independent Study Physics I
Spring 2014PHY5002Independent Study Physics III
Spring 2014PHY1003LLect Conc In Physics
Spring 2014PHY1003Concepts in Physics
Fall 2013ENV4900Capstone: Env Scienc
Fall 2013ENV3002Energy Conservation
Fall 2013PHYS85400Survey of Rsrch Opprtnty/CUNY
Fall 2013PHY5000Independent Study Physics I
Fall 2013PHY5000Independent Study Physics I
Summer 2013PHY3020Quantitative Physics II
Summer 2013PHY3020Quantitative Physics II
Spring 2013PHY1003Concepts in Physics
Spring 2013PHY1003Concepts in Physics
Spring 2013IDC6002HHonors IDC Thesis II
Spring 2013PHY1003LLect Conc In Physics
Fall 2012PHYS85400Survey of Research Opp at CUNY
Fall 2012PHY1003Concepts in Physics
Fall 2012PHY5000Independent Study Physics I
Fall 2012IDC6001HHon Idc Thesis I
Fall 2012PHY4130Modern Physics
Summer 2012PHY3020Quantitative Physics II
Summer 2012PHY3020Quantitative Physics II
Spring 2012PHY1003LLect Conc In Physics
Spring 2012PHY3001General Physics II
Spring 2012PHY1003Concepts in Physics
Fall 2011ENV3002Energy Conservation
Fall 2011ENV4900Capstone: Env Scienc
Fall 2011PHY1003LLect Conc In Physics
Fall 2011PHY5000Independent Study Physics I
Summer 2011PHY3010Quantitative Physics I
Summer 2011PHY3020Quantitative Physics II
Summer 2011PHY3020Quantitative Physics II
Spring 2011PHY5000Independent Study Physics I
Spring 2011PHY5001Independent Study Physics II
Spring 2011PHY1003LLect Conc In Physics
Fall 2010ENV3002Energy Conservation
Fall 2010ENV4900Capstone: Env Scienc
Fall 2010PHY5000Independent Study Physics I
Fall 2010PHY1003LLect Conc In Physics
Summer 2010PHY3020Quantitative Physics II
Summer 2010PHY3020Quantitative Physics II
Summer 2010PHY2003General Physics I
Spring 2010PHY1003LLect Conc In Physics
Spring 2010PHY1003Concepts in Physics
Spring 2010PHY1003Concepts in Physics
Fall 2009PHY1003Concepts in Physics
Fall 2009PHY1003Concepts in Physics
Summer 2009PHY3020Quantitative Physics II
Summer 2009PHY3020Quantitative Physics II
Summer 2009PHY2003General Physics I
Spring 2009PHY1003Concepts in Physics
Spring 2009PHY1003Concepts in Physics
Fall 2008ENV3002Energy Conservation
Fall 2008ENV4900Capstone: Env Scienc
Summer 2008PHY2003General Physics I
Summer 2008PHY3020Quantitative Physics II
Summer 2007PHY2003General Physics I
Summer 2007PHY1003Concepts in Physics
Summer 2007PHY3001General Physics II
Summer 2007PHY2003General Physics I
Summer 2006PHY3001General Physics II
Summer 2006PHY3001General Physics II
Summer 2006PHY2003General Physics I
Summer 2006PHY3001General Physics II
Summer 2006PHY3001General Physics II
Summer 2005PHY3001General Physics II
Summer 2005PHY3001General Physics II
Summer 2005PHY3001General Physics II
Summer 2005ENV5000Independent Study ENV I
Summer 2005PHY2003General Physics I
Spring 2005ENV3002Energy Conservation
Spring 2005ENV5000Independent Study ENV I
Summer 2004PHY3001General Physics II
Summer 2004PHY3001General Physics II
Summer 2004PHY3001General Physics II
Summer 2004PHY2003General Physics I
Summer 2004PHY3001General Physics II
Spring 2004ENV3002Energy Conservation
Summer 2003PHY5000Independent Study Physics I
Summer 2003PHY2003General Physics I
Summer 2003PHY2004General Physics II
Summer 2003PHY2003General Physics I
Summer 2003PHY2003General Physics I
Summer 2003PHY2003General Physics I
Summer 2003PHY5000Independent Study Physics I
Summer 2002PHY2003General Physics I
Summer 2002PHY2004General Physics II
Summer 2002PHY2004General Physics II
Summer 2002PHY2003General Physics I
Spring 2002ENV3002Energy Conservation
Fall 2001PHY1003LLect Conc In Physics
Fall 2001PHY1003Concepts in Physics
Fall 2001PHY1003Concepts in Physics
Summer 2001PHY2004General Physics II
Summer 2001PHY2004General Physics II
Summer 2001PHY2004General Physics II
Summer 2001PHY2004General Physics II
Summer 2001PHY2003General Physics I

Books

Catto, S. (2009). I am the editor of this book of proceedings (556 pages). Elsevier-Canopus/United Kingdom, United Kingdom, Elsevier-Canopus.

Catto, S., Rocha, S., & Rocha, A. (1992). Differential Geometric Methods in Theoretical Physics. (p. 519). World ScientificPublishers.

Catto, S., Rocha, S., & Rocha, A. (1992). Differential Geometric Methods in Theoretical Physics. (p. 682). World ScientificPublishers.

Journal Articles

(2024). Speculations Concerning the Origin of Internal Symmetries of Quarks and Leptons; Nouvelle Algebraic Structures with Striking Resemblance to Hurwitz Algebras. Ukrainian Journal of Physics,

(2023).  Characterization of New Algebras Resembling Color Algebras Based on The Split-Octonion Units in the Classification of Hadronic Symmetries. Journal of Physics, 2667, (012004) 2023. Journal of Physics,

(2023). Octonionic Basis of Color Algebras and Grand Unified Theories. Journal of Mathematical Society, JMM,

(2023).   Hurwitz Algebras at the core of Classification of Possible Symmetries in Hadronic Physics.  Eighteen pages, . Proceedings of the XV-International Workshop “Lie Theory and Its Applications in Physics.,

Catto, S. (2022). Octonion-Based Grand Unified Theories (GUTs) and Beyond. Proceedings of the International Conference in High-Energy Physics, University of Tokyo, Japan, 2022, 14.

(2019). Generalized Four-Dimensional Effective Supersymmetry Based on Quantum Chromodynamics: New Results. Journal of Physics, 1416,1, 012008 (2019). (1416).

Catto, S. (2019). Hadronic Supersymmetry from QCD. Ukrainian Journal of Physics, 64, (8), 672. Ukrainian Journal of Physics, 64(8). 6.

Catto, S. M. (2019). SO(9,1) Group and Examples of Analytic Functions. Journal of Physics, 1194, (1) (2019). Journal of Physics, 1194(012016). 15.

Catto, S. M. (2019). Hadronic Mass Formulae. Journal of Physics, 2150, (1), 03004 (2019). Journal of Physics, 2150(2019). 8.

Catto, S., Nicolescu, B., & Yu, E. (2019). Effective Hadronic Supersymmetry from Quantum Chromodynamics. Ukrainian Journal of Physics, 64, (12) 1096. Ukrainian Journal of Physics, 64(12). 1096--1096.

(2018). Visible and Dark Groups of Spacetime. Journal: Physics of Particles and Nuclei, 49 (5) 894 (2018). Physics of Particles and Nuclei, 49(5). 894.

(2018). Hurwitz Algebras and Octonion Algebra. Journal of Physics, 965 (1) 012009 (2018). Journal of Physics, 965. 12.

Catto, S. (2018). Quantum Symmetries: From Clifford and Hurwitz Algebras to M-Theory and Leech Lattices. Advances in Applied Clifford Algebras, 28(81). 15 pages.

(2018). Quantum Symmetries: From Clifford and Hurwitz Algebras to M-Theory and Leech Lattices. Advances in Applied Clifford Algebras,  28 (4) 81 (2018). Advances in Applied Clifford Algebras, (28). 15 pages.

Catto, S. (2017). Revisiting the Role of Octonions In Hadronic Physics. Journal: Physics of Particles and Nuclei, Letters 14, 390 (2017). Physics of Particles and Nuclei, Letters 2017, 14(2). 6.

Catto, S. (2017). Supergroups in Critical Dimensions and Division Algebras. Journal of Physics, 804 (1) 012009 (2017). Journal of Physics, 804. 19.

(2017). Generalized Four-Dimensional Effective Supersymmetry Based on Quantum Chromodynamics. Ukrainian Journal of Physics, 64 (12) 2017. Ukrainian Journal of Physics, 64(12). 15.

(2017). M. Riesz theorem on Conjugate Harmonic Functions for Octonion-Valued Monogenic Functions. Journal of Physics, 670, (1), 012017 (2016). Journal of Physics,

Catto, S. (2016). Octonions, Supersymmetry and mappings of Ancient and Modern geometries into Each Other. Journal of Physics, 13(2). 16.

(2016). Clifford Algebras and Their Decomposition into Conjugate Fermionic Heisenberg Algebras. Journal of Physics, 766, (1), 012001 (2016). Journal of Physics, 766(1).

Catto, S. (2016). Unifying Ancient and Modern Geometries Through Octonions. Journal of Physics, 870, (1), 012016 (2016). Journal of Physics, 870. 12.

Catto, S. (2016). A. Kolmogorov and M. Riesz' Theorems for Octonionic Monogenic Functions. International Journal of Analysis (ISAAC) Applications and Computations,

Sultan, C. (2016). Clifford Algebras and Their Decomposition into Conjugate Fermionic Heisenberg Algebras. Journal of Physics, (766). 18.

Catto, S. (2014). . Journal of Physics, 563. 15.

Sultan, C. (2014). Algebraic formulation of hadronis supersymmetry based on octonions: New mass formulas and further applications. Journal of Physics, 563(56392014)). 17.

(2013). Invariance Properties of the Exceptional Quantum Mechanics (F4) and Its eneralization to Complex Jordan Algebras (E6). Springer Proc. in Mathematics and Statistics, 36. 469-477.

Catto, S. (2013). Grassmann numbers and Clifford-Jordan-Wigner representation of supersymmetry . Journal of Physics 411(2013) IOP Publishing 1-20, 411. 21 pages.

Sultan, C. (2013). Root Structures of Infinite Gauge Groups and Supersymmetric Field Theories. Journal of Physics: 474(2013) 012013, 474. 14 pages.

(2012). Approximate solution of the spin free Hamiltonian involving only scalar potential for quark-antiquark system. Duke Mathematical Journal, 56 pages.

(2011). Invariance properties of the exceptional quantum mechanics (f4) and its generalization to complex Jordan algebras (E6). AIP/ Springer Verlag, 8 pages.

(2011). Supersymmetry in the Quark-Diquark and the Baryon-Meson Systems. Acta Polytechnica, 51(1). 77-82.

(2010). Effective Supersymmetry based on SU(3)XS superalgebra. AIP, 1243(1243 (2010)). 223-231.

(2009). Hadronic supersymmetries based on exceptional structures. Acta Polytechnica, 51(1/2011). 77-82.

(2009). The ring of octonion integers. Elsevier, (2009). 146-151.

(2008). Scalar Mesons, Multiquark states and Supersymmetry. AIP, 1030(1030 (2008)). 184-190.

(2008). Miyazawa Supersymmetry. AIP 1011 (2008), 1011(2008). 253-259.

(2004). Time Dependent Oscillator and Spontaneous Breaking of Supersymmetry. Proceedings of International Workshop on Supersymmetries and Quantum Systems, 12.

(2004). Projective Geometries and Quantum Mechanics. Proceedings of the Second Feyman Festival, 29.

(2004). Exceptional Groups in Physics. International Conference on Non-Associative Algebras and Their Applications in Physics, 36.

(2003). Exceptional Projective Geometries and International Symmetries. arXiv:hep-th/0302079v1,

(2003). Octonionic Supersymmetry. Encyclopedia of Supersymmetry,

(2003). On The Time Dependent Oscillator and the Non Linear Realization of the Virasaro Group. arXiv:hep-th/0303134v2,

(2003). Self Dual Fields and Quaternion Analyticity. arXiv:hep-th/0302139v2,

(2003). Spectral Theory of Automorphic Forms and Analysis of Differential Operators on SL(3,Z) with Applications.

(2003). Symmetries and Mass Predictions of the Supersymmetric Quark Model. arXiv:hep-ph/0302153v1,

(2003). Effective Hadronic Lagrangians Based on QCD: Potential Models and Skymions. arXiv:hep-th/0302101v1,

(2003). Constraint Superalgebras and their Applications on Guage Field Theories and String Theories. arXiv:hep-th/0302088v1,

(2003). Chiral Symmetry and Vertex Symmetry in the Extended Moller-Rosenfeld Model. arXiv:hep-th/0302102v1,

(2003). Mass Relations for the Quark-Diquark Model. Institute of Physics, (341-347).

(2001). Introductions to Octonionic Hilbert Spaces. Proceedings of WIGSYM-2001,

(2000). A Local Weyl's Law. Contemporary Mathematics 251, 107-117.

(1998). The Selberg Conjecture for SL(3,Z). Proceedings of the American Mathematical Society, 126. 3455-3459.

(1995). Ultrasonic observation of EMF induced by stress waves. Internal Friction, (8). 35.

(1994). Flux oscillations generated by vibration of iron at 22 kHz. J. Phis. Chem. Solids, 55. 521-527.

(1994). Colored Supersymmetry of Mesons and Baryons Based on Octonionic Algegras. Symmetries in Science IV, 129(IV).

(1993). Scalar spinor theories in 4(3+1) dimensions and Euclidean Instanton Solutions in N=2 Supersymmetric Theories. Proc. XXI DGMTP, 571.

(1993). N=2 Euclidean Instanton Solutions in Covariant Superspace with Unconstrained Fields. Int. J. Mod. Phys., A(3A). 576.

(1992). Ultrasonic observation induced by stress waves. Internal Friction, 6. 340.

(1992). Relativistic Quark Model Based on Effective Potentials. Anales de Fisica Monografias, CIEMA/RSEF, II. 76.

(1992). Instanton-like Solutions in Conformal Chiral Superfield Theories. J. Math Phys., 33. 3567.

(1992). Effective Hamiltonian of the Relativistic Quark. Bull. Am. Phys, 37(978).

(1992). . Mod. Phys. Lett., A6. 3485.

(1992). . Bull. Am. Phys. Soc., 37. 978.

(1991). New Formulation of Hadronic Supersymmetry. GTMP, 36. 1039.

(1991). Effective Hamiltonian of the relativistic quark model. Modern Physics Letters, A(6). 3485-3490.

(1990). Instantons from Supersymmetric Conformal Chiral Field Theories. Physics and Geometry, Plenum Press, 268.

(1990). A colored supersymmetry in the quark-diquark system. Hadronic Journal 6, 11.

(1990). Magnetomechanical measures of internal stress. Strength of Metals and Alloys, 3. 1483.

(1989). Covariant Superspace with unconstrained Chiral Superfields and Instanton Solutions. GTMP, XVII, World Scientific, XVII. 300.

(1989). Instanton solutions in supersymmetric chiral field theories. Nuclear Physics B, 6. 148-150.

(1989). Magnetomechanical Damping. Proceedings on the 8th International Conference on the Strength of Metals and Alloys, 3. 88.

(1989). Twisted octonions and their symmetry groups. Nuclear Physics B, 6. 428-432.

(1989). Hadronic Origins of Supersymmetry and the Role of Diquarks. DGMTP, World Scientific, 19. 320.

(1988). Observations of EMF due to stress-induced variation of the magnetic flux in demagnetized iron. Proceedings of the Third National Seminar on Non-Destructive Evaluation of Ferromagnetic Materials,

(1988). New realizations of hadronic supersymmetry. Il Nuevo Cimento A, 99. 16-33.

(1988). On Effective Hadronic Supersymmetry Schemes: String-like Configurations of Hadrons and their Algebraic Description. Proceedings of the XIII International Conference on High Physics, University of California Press,

(1987). Effective quark-diquark supersymmetry and the splitting of Regge trajectories. Proc. Group Theoretical Methods in Physics, 15. 615-621.

(1986). Octonionic hadronic supersymmetry and linearly rising Regge trajectories. Lecture Notes in Physics, 278. 417-420.

(1985). Algebraic treatment of effective supersymmetry. Il Nuovo Cimento, 86. 201-219.

(1984). General supersymmetric equations involving unconstrained chiral superfields. Physical Review D, 29(4). 653-658.

(1982). A class of supersymmetric effective actions. Il Nuovo Cimento , 35. 241-249.

(1982). SU(4) X SU(4) symmetry of nuclear forces. A.W. Wright Nuclear Structure Laborotory Reports, N26. 352-377.

Book Chapters

Catto, S. (2024). Hurwitz Algebras at the core of Classification of Possible Symmetries in Hadronic Physics.. Proceedings of the XV-International Workshop (p. 18). New York, NY. Elsevier Publishers. In Progress.

(2019). Symmetries and Order: Algebraic Methods in Many-Body Systems. Yale University Symposium, October 2018. American Institute of Physics, (003) 15, (2019). Melville, New York, NY. AIP.

Catto, S. (1993). Relativistic quark model. In Gai, M. (Ed.), Bayrons 92 World Scientific.

Catto, S. (1992). Scalar spinor theories in 4(3+1) dimensions and instanton solutions in N=1 and N=2. In Chern, S. S., & Yang, C. N. (Eds.), World Scientific Publishers.

Catto, S. (1992). Effective Hamiltonian of the relativistic quark models. In Gai, M., & Iachello, F. (Eds.), Proceedings of Baryons '92, International Conference on the Structure of Baryons and Related Messons Yale University Press.

(1992). Proceedings of the XXth International Conference on Differential Geometric Methods in Theoretical Physics. (p. 1187). World ScientificPublishers.

(1992). Proceedings of the XXth International Conference on Differential Geometric Methods in Theoretical Physics. (p. 1187). World ScientificPublishers.

Catto, S. (1990). Instantons from supersymmetric conformal chiral scalar superfield theories. In Chau, L. L., & Nahm, W. (Eds.), Physics and Geometry Plenum Press.

Catto, S. (1990). Covariant superspace with unconstrained chiral superfields and instanton solutions. In Saint Auben, Y., & Vinet, L. (Eds.), Group Theoretical Methods in Physics (pp. 300-305). World Scientific Publishing Company.

(1990). Magnetomedhanical damping and oscillating flux of vibrating iron at high amplitudes. Proceedings of the IX International Conference on Internal Friction, Pergamon Press.

Catto, S. (1989). Effective quark-diquark supersymmetry. An algebraic approach.. In Adams, G. (Ed.), Excited Baryons (pp. 486-492). World Scientific Publ. Co..

(1989). Hadronic origins of supersymmetry and the role of diquarks. (pp. 320-330). Differential Geometric Methods, World Scientific Publ. Co..

Catto, S., & Gursey, F. (1988). Effective octogonic supersymmetry. In Freund, P. G. (Ed.), Supersymmetry and its applications (pp. 135-142). Cambridge Univ. Press.

Lee, T., & Catto, S. (1986). Discrete Mechanics. In Zichichi, A. (Ed.), How far are we from the Guage Forces (pp. 15-92). Plenum Press.

Catto, S., & Gursey, F. (1984). Effective hadronic supersymmetry. In Domokos, G., & Kovesi-Domokos, S. (Eds.), Particles and Gravity (pp. 46-66). World Scientific Co..

Government Reports or Monographs

Catto, S. (2021). Role of Quaternions, Octonions, Jordan and Related Algebras in Physics. Proc. Am. Math. Soc., 2021.

Presentations

Catto, S. (2015, August 20). Octonions, Dynamical Supersymmetry and Mappings of Geometries, Ancient and Modern. International Conference on Mathematical Physics, Dubna, Russia.

Catto, S. (2014, December 17). Dynamical Supersymmetry: New Mass Formulas for Hadrons. Winter School, University of Miami (Coral Gables Conferences).

Catto, S. (1995, February 14). Some Remarkable Lattices and Division Algebras. : Rockefeller University.

Catto, S., & Tepper, D. (1994, December 31). Adv. Appl. Clifford Alg4, (S1): 23.

Catto, S. (1994, December 31). Hadronic Supersymmetry Schemes. : University of Wisconsin.

Catto, S., Huntley, J., & Tepper, F. (1994, December 31). The Selberg Conjecture for S13(Z). Proceedings of the XXII Differential Geometric Methods in Theoretical Physics.

Catto, S. (1994, June 30). Covariant Quantization of Superstrings. International Colloquium on Strings and Symmetries. Istanbul, Turkey

Catto, S. (1994, May 31). From Number Theory to Superstrings. : Rockefeller University.

Catto, S. (1994, April 30). Split Octonion Algebra and Hadronization. American Physical Society Meeting. Washington, DC

Catto, S. (1994, December 31). Role of Heavy Quarks in Supersymmetric Meson-Baryon Spectroscopy. : University of Montreal.

Catto, S. (1993, June 30). Octonionic Groups and Internal Symmetries. Gainesville, FL: University of Florida.

Catto, S. (1993, February 28). New Hadronic Mass Formulae. : University of California at Berkeley.

Catto, S. (1993, September 28). The Selberg Conjecture for SL(3Z). : Universidad National Autonoma de Mexico.

Catto, S. (1993, September 30). . XXII DGM Conference. Quantization of Covariant Superstrings

Catto, S. (1993, September 30). Super Kahlerian Structures in Mathematics and Physics. Coral Gables, FL: University of Miami.

Catto, S. (1993, November 6). Instantons and Non-linear Sigma Models. : Penn State University.

Catto, S. (1993, November 30). Covariant Superstrings and Octonions. : University of New Hampshire.

Catto, S. (1993, December 31). J. Mod. Phys A. (Proc. Supp.), 3A: 571.

Catto, S., & Gursey, F. (1993, December 31). Anales de Fiscia Monografias, 2:76.

Catto, S. (1993, December 31). Division Algebras and Superstring Symmetries. : University of Southern California.

Catto, S. (1993, May 27). Color Algebras and QCD. Madison, WI: University of Wisconsin.

Catto, S. (1993, May 15). New Formulations of Quantum Mechanics: Octonionic Quantum Mechanics as a Possible Basis for Internal Symmetries of Nature. 109th Annual Meeting of the Conference on Methods in Philosophy and Sciences. New York, NY: The New School.

Catto, S. (1993, April 30). Electron-Phonon Dynamics. Annual Meeting of the American Physical Society. Washington, DC

Catto, S. (1993, April 15). Octonions, Supersymmetry and Color. Annual Meeting of the American Physical Society. Washington, DC

Catto, S. (1993, April 2). Euclidian Instantons. : Yale University.

Catto, S. (1993, July 9). Diquark Physics: New Developments and Prospects. CEBAF Facility, Newport News, VA

Catto, S. (1992, June 30). Effective Hamiltonian of the Relativistic Quark Model. International Conference on the Structure of Mesons and Baryons: Baryons '92. : Yale University.

Catto, S. (1992, June 30). Instanton Solutions in N=2 Chiral Superfields. International Conference for Theoretical Physics. Trieste, Italy

Catto, S. (1992, June 30). Miyazawa Symmetry: Twenty Five Years Later. Institute of Theoretical Physics Colloquia. : University of Tokyo.

Catto, S. (1992, June 30). Hadronic Supersymmetry Revisited. Paris, France: Ecole Normale Superiore.

Catto, S. (1992, June 30). Hadronic Mass Formulae. : University of Madrid.

Catto, S. (1992, June 30). Dynamical Supersymmetry and Spectrum Generating Algebras. Group Theoretical Methods in Theoretical Physics. Salamanca, Spain

Catto, S. (1992, August 3). Supersymmetry Based on SU(m/n) Supergroups. International Meeting on Symmetries in Science: From Rotation Group to Quantum Algebras. Bregenz, Austria

Catto, S. (1992, August 3). Dynamical Origins of Hadronic Supersymmetry. Munich, Germany: Max Planck Institute.

Catto, S. (1992, October 31). Diquark Physics: New Hedronic States. : Harvard University.

Catto, S. (1992, November 30). Euclidean Instantons. : University of Connecticut, Storrs.

Catto, S. (1992, June 30). Lectures on Hadronic Supersymmetry. : Chinese Academy of Sciences.

Catto, S. (1992, May 31). Search for Diquarks at the Superconducting Super Collider SSC. Collider Physics. Waxahachie, Texas

Catto, S. (1992, June 30). Scalar Spinor Theoriesin Four Dimensions: Euclidean Instantons and Solitons. Tianjin City, Peoples Republic of China

Catto, S. (1992, June 30). Nonlinear Sigma Models and their Embeddings in Kahler and SuperKahler Geometries. : University of Milan.

Catto, S. (1992, June 30). Conformally Flat Einstenian Manifolds: Generalized Multi-Instanton Solutions. Mathematics Colloquium. Paris, France: IHES, Bur Sur Yvette.

Coronel, V., Beshers, F., & Catto, S. (1990, December 31). Magnetomechanical measures of internal stress. 8th International Conference on the Strength of Metals and Alloys.

Catto, S. (1990, February 5). Algebraic structures in physics. Yorktown Heights: IBM.

Catto, S., & Gursey, F. (1990, April 16). Supersymmetric chiral models and their geometrical aspects. Washington, DC: Amer. Phys. Soc..

Catto, S. (1990, April 17). A model of electron-phonon dynamics. Washington, DC: Amer. Phys. Soc..

Catto, S. (1989, July 6). . International Meeting of Differential Geometric Methods in Physics. Tahoe City

Catto, S. (1989, July 10). Chiral superfield construction instantons. Davis, CA: University of California - Davis.

Catto, S. (1989, October 5). Probing the diquark. New Haven, CT: Wright Nuclear Structure Laborotory.

Catto, S. (1989, November 14). Is there a diquark?. : Rockefeller University.

Catto, S., & Chelsey, D. (1989, May 1). Split and twisted octonions and their symmetry groups. Baltimore, MD: Amer. Phys. Soc..

Catto, S. (1989, December 15). New developments in high energy physics - the superworld. : New York Institute of Technology.

Catto, S. (1988, November 4). Algebra of color symmetry. New York, NY: Columbia University.

Catto, S. (1988, September 1). Diquarks, glueballs and exotics from U(6/21). Workshop on Exotics. : Brookhaven National Laborotory.

Catto, S. (1988, February 11). Nonlinear differential equations in physics-exact solutions. New York, NY: Baruch College.

Catto, S. (1988, March 17). Octonionic supersymmetry schemes. Philadelphia, PA: Temple University.

Catto, S. (1988, May 25). Supersoliton solutions from conformally invariant supersymmetric field theories. International Symposium on Space-Time Symmetries. : University of Maryland.

Catto, S. (1988, August 19). Supersymmetry and its applications. Theoretical Physics Colloquium. : Kings College, London.

Catto, S. (1988, August 18). Conformal invariant non-linear supersymmetric field equations. International Conference on Geometric Methods in Theoretical Physics. : University of Liverpool.

Catto, S. (1988, August 5). A QCD path to an effective broken supersymmetry in the quark model. International Conference on Excited Baryons. Troy, NY: Rensselaer Polytechnic Institute.

Catto, S. (1988, June 27). Geometric approach to the solutions of conformal invariant non-linear field equations in supersymmetric field theories. International Colloquium on Group Theoretical Methods in Physics. : University of Montreal.

Catto, S. (1987, July 31). Instantons in higher dimensional field theories. XVI International Colloquium on Group Theoretical Methods.

Catto, S. (1987, May 31). Supersolitons in field theory. International Workshop on Lorentz Transformations and Space-Time Geometry. College Park, MD: University of Maryland.

Catto, S. (1987, March 19). Observations of EMF due to stress induced variation of the magnetic flux in demagnetized iron. : Amer. Phys. Soc..

Catto, S., Conlico, S., & Min, S. (1987, March 16). Hadronic supersymmetry with relativistic equation of two body system. : Amer. Phys. Soc..

Catto, S. (1986, February 28). New developments in hadronic spersymmetry. High Energy Physics Seminar. : University of Cincinatti.

Catto, S. (1986, November 30). Supersymmetric physics. : Manhattan College.

Catto, S. (1986, November 30). Supersymmetric field theories and phenomenology. Theoretica Physics Colloquium. Philadelphia, PA: Temple University.

Catto, S. (1986, October 31). Effective quark-diquark supersymmetry and splitting of Regge trajectories. International Colloquium on Group Theoretical Methods in Physics. Philadelphia, PA: Drexel Institute.

Catto, S. (1986, October 31). Role of octonions in hadronic physics. Theoretical Physics Seminar. : Yale University.

Catto, S. (1986, August 31). Hadronic supersymmetry schemes. International Workshop on Hadronic Physics. Paris, France: Ecole Normale Superieur.

Catto, S. (1986, July 31). On effective hadronic supersymmetry schemes: String-like configurations of hadrons and their algebraic description. XVII International Conference on High Energy Physics. : University of California at Berkeley.

Catto, S. (1986, May 31). Octonionic hadronic supersymmetry and linearly rising Regge trajectories. First International Conference on the Physics of Phase Space. College Park, MD: University of Maryland.

Catto, S. (1986, May 31). What's new in high energy physics. Mathematics Colloquium. New York, NY: Baruch College.

Catto, S. (1986, May 31). New theoretical results on magneto mechanical damping. : School of Mines, Columbia University Department of Engineering and Applied Sciences.

Catto, S. (1986, May 31). Phenomenological hadronic supersymmetry. Crystal City, VA: Amer. Phys. Soc..

Catto, S. (1985, September 30). Quark-diquark symmetry. Southern Connecticut State University: Physics Club.

Catto, S. (1985, September 26). Relativistic hadronic supersymmetry. Theoretical Physics Seminar. Yale University

Catto, S. (1985, April 30). Octonionic effective supersymmetry. Washington, DC: Amer. Phys. Soc..

Catto, S. (1985, August 31). Relativistic treatment of hadronic supersymmetry. Theory Seminar (Faculty). Paris: Ecole Superieure.

Catto, S. (1985, August 31). Hadronic Supersymmetries. : Physics Department, Fordham University.

Catto, S. On effective hadronic supersymmetry schemes: String like configurations of hadrons and their algebraic description. XIII International Conference on High Energy Physics.

Other Scholarly Works

Catto, S. (2016). 76616.

Catto, S., & Tang, H. (1990). A model of electron phonon dynamics. 35983.

Catto, S., & Gursey, Y. (1990). Supersymmetric chiral models and their geometric aspects. 35983.

Catto, S., & Chelsey, D. (1989). Split and twisted octoions and their symmetry groups. 341143.

Catto, S., Beshers, D., & Coronel, V. (1988). Magnetomechanical damping.

Catto, S., Beshers, D., & Coronel, V. (1988). Magnetomechanical damping.

Catto, S. (1988). Supersolitons in higher dimensional field theories. 331175.

Catto, S. (1987). Hadronic supersymmetry with relativistic equation of two-body system.

Catto, S. (1987). Observation of EMF due to stress-induced variation of the magnetic flux in demagnetized iron. 32925.

Catto, S. (1986). Phenomenological hadronic supersymmetry. 31844.

Catto, S. (1985). Octoionic effective supersymmetry. 30720.

Catto, S. (1983). Induced chiral symmetry of nuclear forces. B41508-526.

Research Currently in Progess

Catto, S.(n.d.). Hadronic Supersymmetries Based on Octonions. In Progress.

Hadronic Supersymmetries Based on Octonions. Proceedings of Non-Associative Algebras and Their Applications. Edited by L.Sabinin (Cuernavaca, Mexico).

TitleFunding Agency SponsorStart DateEnd DateAwarded DateTotal FundingStatus
Exceptional Groups and Search for Higher SymmetriesPSC-CUNY 4507/01/201406/30/201504/15/20140Completed
Grand Cofluent Hypergeometic Functions and ApplicationsPSC-CUNY 4407/01/201306/30/201404/15/20133498.4Completed
Octonionic Aspects of Supersymmetric TheoriesPSC-CUNY 3807/01/200706/30/20083803Completed
Honor / AwardOrganization SponsorDate ReceivedDescription
ChairVIII International Wigner Symposium in Mathematical Physics2003Served as Chair of the VIII International Wigner Symposium in Mathematical Physics. Permanent Member of the International Advisory Board.
Panel Member on Hollywood and ScienceInternational Hamptons Film Festival 20032003
MemberInternational Counsel for Development of Science and Technology in Peru1998Member since 1988.
Member, International Advisory BoardGursey Symposia on Particles and Strings1991Member 1991 to Present.
Chair, International Colloquium on Differential Geometric Methods in Theoretical Physics1991Permanent member of the International Advisory Board
Release Time for ResearchBaruch College1987
Release Time for ResearchBaruch College1986Spring and Fall 1986
Winner of the Benjamin W. Lee Scholarship as Best Young Theoretical Physicist of 1983International School of Sub-Nuclear Physics1983Three referees were Nobel Laureates. Referees included: Professors T. D. Lee, S. L. Glashow, E. Wigner, C. Rubbia and Professor Z. Zichichi of CERN.
FellowshipAspen Center for Theoretical Physics1979
Second Place WinnerEastern United States Intercollegiate Mathematics Competitions1969
National Honors Program FellowshipCSUI-ANL1968
Member, International Advisory BoardInternational Colloquia on Differential Geometric Methods in Theoretical Physics1991 to Present
Graduate FellowshipsYale University1976-1979
A. W. Wright Fellowship1979 -1984
Permanent International Advisory Board MemberInternational Colloquia on Differential Geometric Methods in Theoretical Physics1991 to Present

Department

Committee NamePosition RoleStart DateEnd Date
Committee on Faculty Research FacilitiesCommittee Member1/1/1986Present
Honors CommitteeCommittee Member1/1/1986Present
Curriculum CommitteeCommittee Member1/1/1985Present
Departmental Executive CommitteeCommittee Member1/1/198912/31/2001
Deputy Chair/PhysicsDeputy Chair1/1/198912/31/2001
Search Committee for New FacultyCommittee Member1/1/198912/31/2001

College

Committee NamePosition RoleStart DateEnd Date
PSCVice ChairPresent
Curriculum CommitteeCommittee MemberPresent
Committee on Faculty Research FacilitiesCommittee MemberPresent
Honors CommitteeCommittee MemberPresent
PSC Delegate AssemblyAlternate Delegate12/31/2001
Deputy Chair/PhysicsDeputy Chair12/31/2001
Departmental Executive CommitteeCommittee Member12/31/2001
Search Committee for New FacultyCommittee Member12/31/2001
Committee on Research and TravelCommittee Member12/31/1993
PSC Delegate AssemblyAlternate Delegate12/31/1990
Feit Seminar CommitteeCommittee Member12/31/1989
Education Policy and Utilization CommitteeCommittee Member12/31/1988

University

Committee NamePosition RoleStart DateEnd Date
Doctoral FacultyFaculty Member in Physics1/1/2002Present
Ph.D. Program in PhysicsExecutive Officer1/1/2002Present
Doctoral Faculty, PhysicsMember of the physics doctoral faculty1/1/1989Present
PSC-CUNY Faculty Research Panel 1/1/1990Present
Ph.D. Thesis CommitteesCommittee Member1/1/2002Present

Public

OrganizationPosition RoleOrganization StateOrganization CountryStart DateEnd DateAudience
Thesis CommitteesCommittee Member1/1/1991Present
New York Academy of SciencesMember1/1/1986Present
American Institute of Mechanical EngineersMember1/1/1985Present
American Physical SocietyMember1/1/1976Present
Inst. Electrical and Electronic EngineersMember1/1/1975Present
Twentieth International Conference on Differential Geometric Methods in Theoretical PhysicsProgram Organizer6/30/1991