Bruce W Jordan

Education

Ph.D., Mathematics, Harvard University

A.M., Mathematics, Harvard University

AB, Mathematics, Princeton University

Journal Articles

Jordan, B. W., Ribet, K., & Scholl, A. J. (2026). Generalized jacobians of graphs. Mathematische Anallen, In Progress.

Jordan, B. W., & Zaytman, Y. (2025). Isogeny graphs of superspecial abelian varieties and Brandt matrices. Journal of the Mathematical Society of Japan, 40.

Jordan, B. W., Ribet, K., & Scholl, A. J. (2023). Modular curves and Neron models of generalized jacobians. Compositio Mathematica,

Jordan, B. W., & Livne, R. (2022). Invariant cycles of lisse sheaves on semi-stable curves. In Progress.

(2022). The cohomology of the quaternionic unitary group. In Progress.

Jordan, B. W., Brock, B. W., & Elkies, N. D. (2021). Periodic continued fractions over S-integers in number fields and Skolem's p-adic method. Acta Arithmetica, 197. 379 - 420.

Jordan, B. W., Zaytman, Y., & Logan, A. M. (2021). The Zariski closure of integral points on varieties parametrizing periodic continued fractions. Journal of Number Theory, 7 pages.

Jordan, B. W., Ingalls, C., Keeton, A., Logan, A., & Zaytman, Y. (2021). The corank of unitary groups over cyclotomic rings. Journal of the London Mathematical Society, 43 pages.

Jordan, B. W., Keeton, A., Logan, A., Zaytman, Y., & Ingalls, C. C. (2021). Quotient graphs and amalgam presentations for unitary groups over cyclotomic rings. Expermental Mathematics, 27 pages.

Jordan, B. W. (2021). Isogeny graphs of superspecial abelian varieties. RIMS Kokyuroko Bessatsu, 14 pages.

Jordan, B. W., & Zaytman, Y. (2021). Isogeny complexes of superspecial abelian varieties. In Progress.

Jordan, B. W., Brock, B. W., Poonen, B., Scholl, A. J., & Wetherell, J. (2021). Linear independence in linear systems on elliptic curves. Commentarii Mathematici Helvetici, 96(2). 199-213.

Jordan, B. W., Zaytman, Y., Keeton, A., Logan, A., & Ingalls, C. (2020). The Clifford-cyclotomic group and Euler-Poincare characteristics. Canadian Mathematical Bulletin, 63(3). 651-666.

Jordan, B. W., & Poonen, B. (2020). The analytic class number formula for 1-dimensional affine schemes. Bulletin of the London Mathematical Society, 52(5). 793 - 806.

Jordan, B. W., & Zaytman, Y. (2020). Integral points on varieties defined by matrix factorization into elementary matrices. Journal of Number Theory, 217. 340 - 352.

Jordan, B. W., & Zaytman, Y. (2019). On the bounded generation of arithmetic SL(2). Proceedings of the Natl. Acadamy of Sciences of the USA, 116(38). 18880-18882.

Jordan, B. W., Klagsbrun, Z., Poonen, B., Skinner, C., & Zaytman, Y. (2019). Statistics of K-groups modulo p for the ring of integers of a varying quadratic number field. Tunisian Journal of Mathematics, 2(2). 287-307.

Jordan, B. W., Keeton, A. G., Poonen, B., Rains, E. M., Shepherd-Barron, N., & Tate, J. T. (2018). Abelian Varieties Isogenous to a Power of an Elliptic Curve. Compositio Mathematica, 154. 934-959.

Jordan, B. W., Livne, R., & Varshavsky, Y. (2003). Local points of twisted Mumford quotients and Shimura curves. Math. Ann., 327. 409-428.

Jordan, B., & Livne, R. (2000). The Ramanujan property for regular cubical complexes. Duke Math. J., 105. 85-103.

Jordan, B. W., & Livne, R. (1999). On Atkin-Lehner quotients of Shimura curves. Bull. London Math. Soc., 31. 681-685.

Jordan, B. W., & Livne, R. (1997). Ramanujan local systems on graphs. Topology, 36. 1007-1024.

Jordan, B. W., & Faltings, G. (1995). Crystalline cohomology and GL (2, Q). Israel J. of Math., 90. 1-66.

Jordan, B. W., & Livne, R. (1995). Integral Hodge theory and congruences between modular forms. Duke Math. J., 80. 410-484.

Jordan, B. W., & Morrison, D. (1994). On the Neron models of abelian surfaces with quaternionic multiplication. J. reine angew. Math., 447. 1-22.

Jordan, B. W., & Livne, R. (1989). Conjecture "Epsilon" for weight k > 2. Bull. Amer. Math. Soc., 21. 51-56.

Jordan, B. W., & Livne, R. (1987). Divisor classes on Shimura curves rational over local fields. J. Crelle, 378. 46-52.

Jordan, B. W. (1986). Points on Shimura curves rational over number fields. J. Crelle, 371. 92-114.

Jordan, B. W., & Livne, R. (1986). On the Neron model of jacobians of Shimura curves. Compositio Math., 60. 227-236.

Jordan, B. W., & Livne, R. (1985). Local diophantine properties of Shimura curves. Math. Ann., 270. 235-248.

Jordan, B. W. (1984). p-adic points on Shimura curves. Seminaire de Theorie des Nombres de Paris 1982-1983, Birkhauser, Boston, 135-142.

Jordan, B. W. (1980). A lower central series for split Hopf algebras with involution. Trans. Amer. Math. Soc., 257. 427-454.

Jordan, B. W., Brock, B. W., & Smithline, L. A composition law and refined notions of convergence for periodic continuedfractions. In Progress.

Presentations

Jordan, B. W. (2020, October 15). Isogeny graphs of superspecial abelian varieties. Superssingular2020. Kyoto: Research Institute of Mathematical Sciences.

Jordan, B. W. (2006, December 31). Special Year on Discrete Subgroups of Lie Groups. Princeton, New Jersey: Institute for Advanced Study.

Jordan, B. W. (2005, December 31). Special Year on Discrete Subgroups of Lie Groups. Princeton, New Jersey: Institute for Advanced Study.

Jordan, B. W. (2004, February 28). . Lecture. UCLA: Institute for Pure and Applied Mathematics.

Jordan, B. W. (2003, July 31). . Lecture. : Universitat de Barcelona.

Jordan, B. W. (2001, October 31). . Lecture. : Graduate Center of CUNY.

Jordan, B. W. (1999, April 30). . Lecture. : Columbia University.

Jordan, B. W. (1999, March 31). . Lecture. Paris: Institut Henri Poincare.

Jordan, B. W. (1994, December 31). Higher weight modular forms and Galois representations. Conference on P-adic Monodromy and the Conjecture of Birch and Swinnerton-Dyer, Contemporary Mathematics. Providence, Rhode Island: American Mathematics Society.

Jordan, B. W. (1993, April 30). . Lecture. : The Hebrew University of Jerusalem.

Jordan, B. W. (1992, December 31). . Lecture. : Columbia University.

Jordan, B. W. (1992, October 31). . Lecture. : The University of Virginia.

Jordan, B. W. (1992, May 31). . Conference on Arithmetic Algebraic Geometry. Sundance, Utah

Jordan, B. W. (1991, March 31). . Lecture. : The University of Pennsylvania.

Jordan, B. W. (1991, April 30). . Lecture. : Boston University.

Jordan, B. W. (1991, August 31). . Conference on P-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture. Boston

Jordan, B. W. (1991, January 31). . Lecture. : The Hebrew University of Jerusalem.

Jordan, B. W. (1990, April 30). . Lecture. : Columbia University.

Jordan, B. W. (1989, November 30). . Lecture. : Boston University.

Jordan, B. W. (1989, October 31). . 2 Lectures. : Institute for Advanced Study.

Jordan, B. W. (1989, June 30). . Lecture. : Oxford University.

Jordan, B. W. (1989, April 30). . 4 Lectures. : University of California, Los Angeles.

Jordan, B. W. (1989, April 30). . Lecture. : The University of Arizona.

Jordan, B. W. (1989, January 31). . Lecture. : Tel-Aviv University.

Jordan, B. W. (1988, December 31). . Lecture. : The University of Maryland.

Jordan, B. W. (1988, January 31). . Lecture. : The Institute for Advanced Studies of the Hebrew University of Jerusalem.

Jordan, B. W. (1988, April 30). . Lecture. Milwaukee: The University of Wisconsin.

Jordan, B. W. (1988, July 31). . Conference on Modular Forms of Several Variables. Goettingen: Sonderforschungsbereich 160.

Jordan, B. W. (1988, July 31). . Lecture. : Universitat Goettingen.

Jordan, B. W. (1988, June 30). . Lecture. Bonn: Max Planck Institut fur Mathmatik.

Jordan, B. W. (1987, November 30). . Lecture. : Boston University.

Jordan, B. W. (1987, January 31). . Lecture. : Tel-Aviv University.

Jordan, B. W. (1986, October 31). . Lecture. : Brown University.

Other Scholarly Works

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