Louis-Pierre Arguin

Education

Ph.D., Mathematics, Princeton University Princeton NJ

MSc, Physics, University of Montreal Montreal Canada

BSc, Mathematics, University of Montreal Montreal Canada

Books

Arguin, L. (2022). A First Course in Stochastic Calculus. USA, American Mathematical Society.

Arguin, L., Gayrard, V., Kistler, N., & Kurkova, I. (2019). Statistical mechanics of classical and disordered systems. (p. 279). Springer.

Arguin, L. Extreme Value Theory of the Riemann Zeta Function: A probabilistic journey. Springer. In Progress.

Journal Articles

(2025). The Fyodorov-Hiary-Keating Conjecture in Mesoscopic Intervals. Annals of Probability,

(2025). Upper bounds on large deviations of Dirichlet L-functions in the q-aspect. J. Number Theory, 273. 96--158.

(2025). Lower Bounds for the Large Deviations of Selberg's Central Limit Theorem. Mathematika, 71.

(2025). On the Fourier Coefficients of critical Gaussian Multiplicative Chaos. Communications in Mathematical Physics,

(2024). Maxima of a Random Model of the Riemann Zeta Function over Intervals of Varying Length. Annales de l’Institut Henri Poincaré, 60(1). 588-611.

(2024). Maxima of a random model of the Riemann zeta function over intervals of varying length. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 60(1). 588 -- 611.

(2024). Evidence of Random Matrix Corrections for the Large Deviations of Selberg’s Central Limit Theorem. Experimental Mathematics, 33. 123-135.

(2024). The Fyodorov-Hiary-Keating Conjecture II. Annals of Mathematics,

Arguin, L., Bourgade, P., & Radziwill, M. (2024). The Fyodorov-Hiary-Keating Conjecture I. Annals of Mathematics,

(2023). Large Deviation Estimates of Selberg's Central Limit Theorem and Applications. International Mathematics Research Notices, 23. 20574–20612.

Arguin, L., Hartung, L., & Kistler, N. (2022). High Points of a Random Model of the Riemann Zeta Function and Gaussian Multiplicative Chaos. Stochastic Processes and Applications,

Arguin, L., Ouimet, F., & Radziwill, M. (2021). Moments of the Riemann Zeta Function in Short Intervals. Annals of Probability, 49(6). 3106-3141.

Arguin, L., & Hanson, J. (2020). On Absence of disorder chaos for spin glasses on Z(d). Electronic Communications in Probability, 25.

Arguin, L., & Ouimet, F. (2019). Large deviations and continuity estimates for the derivative of a random model oflog¿|¿|on the critical line. Journal of Mathematical Analysis and Applications, 472(1). 687-695.

Arguin, L., Newman, C. M., & Stein, D. L. (2019). A Relation Between Disorder Chaos and Incongruent States in Spin Glasses on Z^d. Communications in Mathematical Physics, 367(3). 1019--1043.

Arguin, L., Belius, D., Bourgade, P., Radziwill, M., & Soundararajan, K. (2019). Maximum of the Riemann Zeta Function on a Short Interval of the Critical Line. Communications on Pure and Applied Mathematics, 72(3). 500-535.

Arguin, L. (2018). Most-likely-path in Asian option pricing under local volatility models. Int. J. Theor. Appl. Finance, 21.

Arguin, L., Belius, D., Bourgade, P., Radziwill, M., & Soundararajan, K. (2018). Maximum of the Riemann Zeta Function on a Short Interval of the Critical Line. Communications on Pure and Applied Mathematics,

Arguin, L., Belius, D., & Bourgade, P. (2017). Maximum of the characteristic polynomial of random unitary matrices. Communications in Mathematical Physics, 349(2). 703–751.

Arguin, L., Belius, D., & Harper, A. J. (2017). Maxima of a randomized Riemann zeta function, and branching random walks. The Annals of Applied Probability, 27(1). 178–215.

Arguin, L., Newman, C., Stein, D., & Wehr, J. (2016). Zero-Temperature Fluctuations in Short-Range Spin Glasses. Journal of Statistical Physics, Springer, 163. 9.

Arguin, L., & Ouimet, F. (2016). Extremes of the two-dimensional Gaussian free field with scale-dependent variance. ALEA Lat. Am. J. Probab. Math. Stat., 13.

Arguin, L., & Zindy, O. (2015). Poisson-Dirichlet Statistics for the extremes of the two-dimensional Gaussian free eld. Electronic Journal of Probability, 20(59). 1-19.

Arguin, L., Newman, C. M., & Stein, D. L. (2015). Thermodynamic Identities and Symmetry Breaking in Short-Range Spin Glasses. Phys. Rev. Lett., 115(18). 187202.

Arguin, L., Bovier, A., & Kistler, N. (2015). An ergodic theorem for the extremal process of branchingBrownian motion. Ann. Inst. Henri Poincaré Probab. Stat., 51(2). 557–569.

Arguin, L., & Zindy, O. (2014). Poisson-Dirichlet statistics for the extremes of a log-correlated Gaussian field. Annals of Applied Probability, Institute of Mathematical Statistics, 24(4). 1446-1481.

Arguin, L., Newman, C., Stein, D., & Wehr, J. (2014). Fluctuation bounds for interface free energies in spin glasses. Journal of Statistical Physics, Springer, 156(2). 221-238.

Arguin, L., & Damron, M. (2014). On the number of ground states of the Edwards-Anderson spin glass model. Ann. Inst. Henri Poincaré Probab. Stat., 50(1). 28–62.

Arguin, L., & Kistler, N. (2014). Microcanonical analysis of the random energy model in a random magnetic field. Springer, 157(1). 1-16.

Arguin, L., Bovier, A., & Kistler, N. (2013). An ergodic theorem for the frontier of branching Brownian motion. Electron. J. Probab., 18. no. 53, 25.

Arguin, L., & Chatterjee, S. (2013). Random overlap structures: properties and applications to spin glasses. Probab. Theory Related Fields, 156(1-2). 375–413.

Arguin, L., Bovier, A., & Kistler, N. (2013). The extremal process of branching Brownian motion. Probab. Theory Related Fields, 157(3-4). 535–574.

Arguin, L., Bovier, A., & Kistler, N. (2012). Poissonian statistics in the extremal process of branching Brownian motion. Ann. Appl. Probab., 22(4). 1693–1711.

Arguin, L., Bovier, A., & Kistler, N. (2011). Genealogy of extremal particles of branching Brownian motion. Comm. Pure Appl. Math., 64(12). 1647–1676.

Arguin, L., & Damron, M. (2011). Short-range spin glasses and random overlap structures. J. Stat. Phys., 143(2). 226–250.

Arguin, L., Damron, M., Newman, C. M., & Stein, D. L. (2010). Uniqueness of ground states for short-range spin glasses in the half-plane. Comm. Math. Phys., 300(3). 641–657.

Arguin, L., & Saint-Aubin, Y. (2009). Restricted partition functions of the two-dimensional Ising model on a half-infinite cylinder. J. Math. Phys., 50(9). 095203, 8.

Arguin, L., & Kistler, N. (2009). Small perturbations of a spin glass system. J. Stat. Phys., 135(5-6). 1167–1180.

Arguin, L., & Aizenman, M. (2009). On the structure of quasi-stationary competing particle systems. Ann. Probab., 37(3). 1080–1113.

Arguin, L. (2008). Competing particle systems and the Ghirlanda-Guerra identities. Electron. J. Probab., 13. no. 69, 2101–2117.

Arguin, L. (2008). A remark on the infinite-volume Gibbs measures of spin glasses. J. Math. Phys., 49(12). 125204, 8.

Arguin, L. (2007). Spin glass computations and Ruelle’s probability cascades. J. Stat. Phys., 126(4-5). 951–976.

Arguin, L. (2007). A dynamical characterization of Poisson-Dirichlet distributions. Electron. Comm. Probab., 12. 283–290 (electronic).

Arguin, L. (2002). Homology of Fortuin-Kasteleyn clusters of Potts models on the torus. J. Statist. Phys., 109(1-2). 301–310.

Arguin, L., & Saint-Aubin, Y. (2002). Non-unitary observables in the 2d critical Ising model. Phys. Lett. B, 541(3-4). 384–389.

Book Chapters

Arguin, L. (2021). Ground state stability in two spin glass models. In Newman, C., & Stein, D. (Eds.), In and out of equilibrium 3. Celebrating Vladas Sidoravicius (p. 17–25). Birkhäuser/Springer.

Arguin, L., & Tai, W. (2019). Is the Riemann Zeta Function in a Short Interval a 1-RSB Spin Glass?. Sojourns in Probability Theory and Statistical Physics - I (pp. 63-88). Springer Singapore.

Arguin, L., & Persechino, R. (2019). The Free Energy of the GREM with Random Magnetic Field. Statistical Mechanics of Classical and Disordered Systems (pp. 37-61). Springer International Publishing.

Arguin, L. (2016). Extrema of Log-correlated Random Variables: Principles and Examples. In Contucci, P., & Giardinà, C. (Eds.), Advances in disordered systems, random processes and some applications (pp. 166-204). Cambridge University Press.

Presentations

Arguin, L. (2025, January 26). Large Values of the Riemann Zeta Function: A probabilistic journey. Wilhelm Killing Kolloquium. University of Munster: University of Munster.

Arguin, L. (2025, December 26). A Statistical Mechanics Approach for the Moments of the Riemann Zeta Function. 129th Rutgers Statistical Mechanics Conference. Rutgers University

Arguin, L. (2025, September 26). Large Deviations of the Riemann Zeta Function. Clay Research Conference. University of Oxford: Clay Mathematics Institute.

Arguin, L. (2025, March 26). Large Values of the Riemann Zeta Function. Cambridge Probability Seminar. University of Cambridge: University of Cambridge.

Arguin, L. (2025, March 26). Moments of the Riemann zeta function in short intervals. Multiplicative Chaos in Number Theory. University of Warwick: University of Warwick.

Arguin, L. (2025, October 26). The distribution of values of the Riemann zeta function. School in number theory EThéN. Marseille, France: Centre international de rencontres mathématiques.

Arguin, L. (2025, February 26). A statistical mechanics perspective on the large values of the Riemann zeta function. Bristol Mathematical Physics Seminar. : University of Bristol.

Arguin, L. (2025, August 26). Moments of the Riemann Zeta Function in Short Intervals. World Congress in Probability. Bochum, Germany: Institute of Mathematical Statistics.

Arguin, L. (2025, June 26). Moments of the Riemann Zeta Function. Probability Seminar. Warwick: University of Warwick.

Arguin, L. (2025, January 26). Large Values of the Riemann Zeta Function: A Probabilistic Journey. London Analysis and Probability Seminar. : Imperial College London.

Arguin, L. (2025, April 26). Extreme values of the zeta function: a probabilistic journey. Columbia-Princeton Probability day. Columbia University: Columbia University, Princeton University.

Arguin, L. (2025, July 26). The Fyodorov-Hiary-Keating Conjecture. Random matrices: from quantum chaos to the Riemann zeta function. University of Bristol: Heilbronn Institute for Mathematical Research.

Arguin, L. (2025, March 26). Large Deviations of Selberg's Central Limit Theorem. CUNY-Columbia Probability Seminar. CUNY Graduate Center

Arguin, L. (2025, October 26). Bounding the Large Deviations of Selberg's CLT. Oxford Random Matrix Seminar. Oxford: University of Oxford.

Arguin, L. (2025, March 26).  A Statistical Mechanics Perspective on the Large Values of the Riemann Zeta Function. Statistical Mechanics Seminar. Dept. of Physics, Princeton: Princeton University.

Arguin, L. (2025, June 26). The Fyodorov-Hiary-Keating Conjecture. 50 years of Random Matrix Theory and Number Theory. Institute for Advanced Study, Princeton: Institute for Advanced Study.

Arguin, L. (2025, October 26). A Journey from Statistical Mechanics to Number Theory. Integrable systems, exactly solvable models and algebras. Université de Montréal: Centre de Recherches Mathématiques.

Arguin, L. (2025, October 26). Large Values of the Riemann Zeta Function on the Critical Line. Quebec Maine Number Theory Conference. Université Laval, Québec

Arguin, L. (2025, November 26). Large Values of the Riemann Zeta Function on the Critical Line. Philadelphia Area Number Theory Seminar. Bryn Mawr College: Bryn Mawr College.

Arguin, L. (2025, February 26). Large Values of the Riemann Zeta Function \\ in Short Intervals. Georgia Tech Probability Seminar. Georgia Tech: Georgia Tech.

Arguin, L. (2025, December 26). Large Values of the Riemann Zeta Function in Short Intervals. Temple/UPenn Probability Seminar. Temple University: Temple University.

Arguin, L. Les grandes valeurs de la fonction zeta de Riemann sur l'axe critique. Colloque Lorrain. Institut Elie Cartan: Institut Elie Cartan.

Arguin, L. (2025, March 26).  Large Values of the Riemann Zeta Function in Short Intervals. Vienna Probability Seminar. University of Vienna: University of Vienna.

Arguin, L. Large Values of the Riemann Zeta Function in Short Intervals. Stochastics Seminar. Georgia Tech: Georgia Tech.

Arguin, L. (2020, May 28). Large Values of the Riemann Zeta Function. One World Probability Seminar. Online

Arguin, L. (2020, October 14). Large Values of the Riemann Zeta Function. Waterloo Probability Seminar Series. Waterloo, Canada: University of Waterloo.

Arguin, L. (2019, October 3). Large Values of the Riemann Zeta Function in Short Intervals. New York Number Theory Seminar. Graduate Center, CUNY: City University of New York.

Arguin, L. (2019, October 11). Large values of the Riemann Zeta Function. Midwest Probability Colloquium. Chicago: Northwestern University.

Arguin, L. (2019, October 18). Large Values of the Riemann Zeta Function in Short Intervals. Texas A&M Probability Seminar. College Station, TX: Texas A&M.

Arguin, L. (2019, February 6). Moments of the Riemann Zeta Function on Short Intervals. CUNY Probability Seminar. CUNY Graduate Center: CUNY.

Arguin, L. (2019, November 5). Large Values of the Riemann Zeta Function in Short Intervals. Rutgers Number Theory Seminar. New Brunswick, NJ: Rutgers University.

Arguin, L. (2019, February 15). Moments of the Riemann Zeta Function on Short Intervals. Columbia University Probability Seminar. Columbia University: Columbia University.

Arguin, L. (2019, June 17). Large Values of the Riemann Zeta Function in Short Intervals. Extreme Values in Number Theory and Probability. Paris, France: Institut Henri-Poincaré.

Arguin, L. (2019, April 8). Moments of the Riemann Zeta Function on Short Intervals. Cornell University Probability Seminar. Cornell University: Cornell University.

Arguin, L. (2019, October 31). Large Values of the Riemann Zeta Function in Short Intervals. City College Mathematics Colloquium. City College, New York: CCNY.

Arguin, L. (2018, October 2). A Relation between Disorder Chaos and Incongruent States in Spin Glasses. Spin Glasses and Related Models. Banff, Canada: Banff International Research Station.

Arguin, L. (2018, September 17). Maxima of the Riemann Zeta Function on a Short Interval of the Critical Line. Graduate Student Colloquium. Graduate Center: CUNY.

Arguin, L. (2018, June 19). Maxima of the Riemann Zeta Function on a Short Interval of the Critical Line. Recent Trends in Discrete and Continuous Probability. Atlanta: Georgia Tech.

Arguin, L. (2018, June 13). Maxima of the Riemann Zeta Function on a Short Interval of the Critical Line. Log-Correlated Fields. Bonn, Germany: Hausdorff Center for Mathematics.

Arguin, L. (2018, May 25). Maxima of the Riemann Zeta Function on a Short Interval of the Critical Line. Probability in Number Theory. Universite de Montreal: Centre de Recherches Mathematiques.

Arguin, L. (2018, May 6). Maxima of the Riemann Zeta Function on a Short Interval of the Critical Line. 113th Conference in Statistical Mechanics. NJ: Rutgers University.

Arguin, L. (2018, April 19). Maxima of the Riemann Zeta function on a short interval of the critical line. Number theory and its connections to random matrices and extreme values. Hong Kong, China: University of Hong Kong.

Arguin, L. (2018, April 17). Maxima of the Riemann Zeta function on a short interval of the critical line. Math Probability Seminar Series. Shanghai, China: NYU Shanghai.

Arguin, L. (2018, March 29). Maxima of the Riemann Zeta Function on a short interval of the critical line. Rochester Probability Seminar. Rochester, NY: University of Rochester.

Arguin, L. (2018, March 2). Maxima of the Riemann Zeta Function on a short interval of the critical line. German Probability and Statistics Days. Freiburg, Germany: DMV-Fachgruppe Stochastik.

Arguin, L. (2018, February 19). Maxima of the Riemann Zeta function on a short interval of the critical line. Montreal Probability Seminar. Montreal, Canada: Centre de Recherches Mathématiques.

Arguin, L. (2018, February 2). Maxima of the Riemann Zeta function on a short interval of the critical line. Probability and Mathematical Physics Seminar. Courant Institute: New York University.

Arguin, L. (2018, January 26). Thoughts and Advice on NSF CAREER grant process. NSF CAREER award workshop. Research Foundation CUNY: Research Foundation CUNY.

Arguin, L., & Tai, W. (2017, July 15). Is the Riemann Zeta Function a 1-RSB Spin Glass?. Stochastic Process and Applications. Moscow Russia: Bernoulli Society.

Arguin, L. (2016, May 9). Maxima of the characteristic polynomial of CUE and of the zeta function via branching random walks. Extrema of logarithmically correlated processes, characteristic polynomials, and the Riemann zeta function. : University of Bristol.

Arguin, L. (2016, March 25). The maximum of the characteristic polynomial of random unitary matrices. Stochastics Seminar. Department of Mathematics: University of Utah.

Arguin, L. (2015, July 22). Fluctuation bounds for interface free energies in spin glasses. Disordered Models of Mathematical Physics. Valparaiso, Chile: Universidad de Chile.

Arguin, L. (2015, June 15). Maxima of branching random walk and of the Riemann zeta function on the critical line. Annual meeting, Statistical Society of Canada. Halifax, Canada: Statistical Society of Canada.

Arguin, L. (2015, August 4). Fluctuation bounds for interface free energies in spin glasses. First Passage Percolation and Related Models. San Jose: American Institute of Mathematics.

Arguin, L. (2015, November 5). The maximum of the characteristic polynomial of random unitary matrices. UNC Probability Seminar. Chapel Hill: University of North Carolina.

Arguin, L. (2015, November 18). The maximum of the characteristic polynomial of random unitary matrices. Probability and Mathematical Physics Seminar. Harvard University: Harvard University.

Arguin, L. (2015, May 1). Maxima of log-correlated Gaussian fields and the Riemann Zeta function on the critical line. UChicago Probability Seminar. Chicago, Ill.: University of Chicago.

Arguin, L. (2015, January 5). Extrema of log-correlated random-variables: principles and examples. Introductory School Institut Henri-Poincaré trimester. Centre International de Rencontres Mathématiques, Marseille: Institut Henri-Poincaré.

Arguin, L. (2015, January 23). Gaussian Fields and the Maxima of the Riemann Zeta Function on the Critical Line. Rhein-Main Kolloquium Stochastik. Mainz, Germany: Mainz Universität, Goethe Universität.

Arguin, L. (2015, January 30). Maxima of log-correlated Gaussian elds and of the Riemann Zeta function on the critical line. Columbia Probability Seminar. New York: Columbia University.

Arguin, L. (2015, March 19). Maxima of log-correlated Gaussian elds and the Riemann Zeta function on the critical line. Random trees, random graphs and applications. University of Cambridge: Isaac Newton Institute for Mathematical Sciences.

Arguin, L. (2015, February 17). Maxima of log-correlated Gaussian fields and of the Riemann Zeta function on the critical line. Spin Glasses, Random Graphs and Percolation. Paris, France: Institut Henri-Poincaré.

Arguin, L. (2014, December 6). Probabilistic Approach for the Maxima of the Riemann Zeta Function on the Critical Line. Canadian Mathematical Society, Winter meeting. Hamilton, Ontario, Canada: Canadian Mathematical Society.

Arguin, L. (2014, November 12). A primer in Log-Correlated Gaussian Fields. Quantitative Finance Seminar. New York: Baruch College.

Arguin, L. (2014, November 18). Probabilistic Approach for the Maxima of the Riemann Zeta Function on the Critical Line. Temple-Penn Probability Seminar. Philadelphia, Pa: Temple University, University of Pennsylvania.

Arguin, L. (2014, November 4). Probabilistic approach for the maxima of the Riemann Zeta function on the critical line. CUNY Probability Seminar. New York: CUNY.

Other Scholarly Works

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