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faculty

Jacob Bernstein

Vice-Chair and Professor

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Research Interests: Geometric analysis

Education: PhD, Massachusetts Institute of Technology

Emily Braley

Assistant Dean for Undergraduate Academic Affairs
Associate Teaching Professor

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Research Interests: Mathematics education, professional development for teaching

Education: PhD, University of North Carolina

Caterina Consani

Professor

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Research Interests: Arithmetic geometry, number theory, non-commutative geometry

Education: PhD, University of Chicago

Joseph Cutrone

Director of Online Programs
Associate Teaching Professor

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Research Interests: Algebraic geometry

Education: PhD, Johns Hopkins University; MBA, Johns Hopkins University

Rahul Dalal

J.J. Sylvester Assistant Professor and NSF Postdoctoral Fellow

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Research Interests: Automorphic representations, trace formulas

Education: PhD, University of California, Berkeley

Benjamin Dodson

Professor

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Research Interests: Partial differential equations, harmonic analysis

Education: PhD, University of North Carolina

Jonah Duncan

J.J. Sylvester Assistant Professor

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Research Interests: Partial differential equations, geometric analysis

Education: PhD, University of Oxford

David Gepner

Professor

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Research Interests: Algebraic topology, algebraic K-theory, higher category theory

Education: PhD, University of Illinois at Urbana-Champaign

Rok Gregoric

J.J. Sylvester Assistant Professor

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Research Interests: Homotopy theory and algebraic geometry

Education: PhD, University of Texas at Austin

Ashwin Iyengar

J.J. Sylvester Assistant Professor

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Research Interests: Galois representations, Iwasawa theory, Langlands program

Education: PhD, The London School of Geometry and Number Theory, King’s College London

Mikhail Khovanov

Visiting Professor

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Research Interests: Categorification, representation theory, low-dimensional topology

Education: PhD, Yale University

Nitu Kitchloo

Professor

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Research Interests: Symplectic geometry, topology of Kac-Moody groups, classical algebraic topology

Education: PhD, Massachusetts Institute of Technology

Huajie Li

J.J. Sylvester Assistant Professor

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Research Interests: Number theory, automorphic forms

Education: PhD, Université de Paris

Hans Lindblad

Professor

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Research Interests: Partial differential equations, nonlinear wave equations

Education: PhD, Lund Institute of Technology

Fei Lu

Associate Professor

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Research Interests: Malliavin calculus, stochastic PDE, stochastic modeling in scientific computing, statistical inference, and data assimilation

Education: PhD, University of Kansas

Fanjun Meng

J.J. Sylvester Assistant Professor

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Research Interests: Algebraic geometry

Education: PhD, Northwestern University

Chikako Mese

Professor

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Research Interests: Differential geometry, geometric analysis

Education: PhD, Stanford University

Chamsol Park

J.J. Sylvester Assistant Professor

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Research Interests: Harmonic analysis, partial differential equations: Helmholtz and wave equations, microlocal analysis

Education: PhD, University of New Mexico

Daniel Restrepo

J.J. Sylvester Assistant Professor

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Research Interests: Calculus of variations and partial differential equations

Education: PhD, University of Texas at Austin

Emily Riehl

Professor

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Research Interests: Category theory, homotopy theory

Education: PhD, University of Chicago

Yiannis Sakellaridis

Professor

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Research Interests: Automorphic forms, number theory, representation theory

Education: PhD, Stanford University

Alexander Shumakovitch

Senior Lecturer and IT Administrator

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Research Interests: Low-dimensional topology, knot theory

Education: PhD, Uppsala University

Yannick Sire

Director of Graduate Studies
Professor

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Research Interests: Partial differential equations, harmonic and geometric analysis, dynamical systems

Education: PhD, Institut National des Sciences Appliquees de Toulouse (France)

Christopher Sogge

J.J. Sylvester Professor

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Research Interests: Fourier analysis, partial differential equations

Education: PhD, Princeton University

Yuchin Sun

Visiting Assistant Professor

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Research Interests: Differential geometry, geometric analysis and calculus of variations

Education: PhD, Imperial College London

Paula Verdugo

Visiting Assistant Professor

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Research Interests: Category theory, higher category theory, homotopy theory, algebraic K-theory

Education: PhD, Macquarie University, Sydney

Xiong Wang

J.J. Sylvester Assistant Professor

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Research Interests: Gaussian processes, stochastic partial differential equations and data-driven stochastic models

Education: PhD, University of Alberta

Yi Wang

Professor

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Research Interests: Geometric analysis, nonlinear partial differential equations

Education: PhD, Princeton University

Yang Yang

J.J. Sylvester Assistant Professor

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Research Interests: Partial differential equations and geometric analysis

Education: PhD, University of California, Irvine

Zihui Zhao

Assistant Professor

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Research Interests: Geometric measure theory, harmonic analysis, partial differential equations, and geometric analysis

Education: PhD, University of Washington

Associated Faculty

Antonio Auffinger

Visiting Professor
Northwestern University

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Research Interests: Probability theory and mathematical physics

Education: PhD, New York University

Gregory Eyink

Professor
Department of Applied Mathematics & Statistics

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Research Interests: Mathematical physics, fluid mechanics, turbulence, dynamical systems, partial differential equations, non-equilibrium statistical physics, geophysics and climate, astrophysics, and plasma physics

Education: PhD, Ohio State University

Edinah Gnang

Assistant Professor
Department of Applied Mathematics & Statistics

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Research Interests: Discrete mathematics, graph theory, multilinear algebra, image analysis, experimental math

Education: PhD, Rutgers University

Sebastian Schulz

Postdoctoral Fellow
Department of Physics & Astronomy

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Research Interests: Differential geometry, geometric analysis, geometry of moduli spaces

Education: PhD, University of Texas at Austin

postdoctoral fellows

Timothy Campion

Postdoctoral Fellow

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Research Interests: Category theory, higher category theory, and homotopy theory

Education: PhD, University of Notre Dame

Sina Hazratpour

Postodoctoral Fellow

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Research Interests: Homotopy type theory, category theory, categorical logic, formalization of mathematics, philosophy of mathematics

Education: PhD, University of Birmingham (UK)

Jonathan Weinberger

Postdoctoral Fellow

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Research Interests: Synthetic and model-independent higher category theory, semantics of homotopy type theory, categorical logic, abstract homotopy theory and homotopical algebra

Education: PhD, Technical University of Darmstadt

Staff

Catrish Griffin

Teaching and Training Specialist

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Joyce Moody

Administrative Manager

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Sabrina Raymond

Sr. Academic Program Coordinator

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Jordan White

Sr. Administrative Coordinator

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professors emeriti

Takashi Ono

Professor Emeritus

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Research Interests: Algebra, number theory, algebraic groups

Education: PhD, Nagoya University

Bernard Shiffman

Professor Emeritus and Academy Professor

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Research Interests: several complex variables, complex geometry

Education: PhD, University of California, Berkeley

Joel Spruck

J.J. Sylvester Professor Emeritus

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Research Interests: Partial differential equations, geometric analysis

Education: PhD, Stanford University

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