Core Faculty

John M. Alongi | Professor of Instruction

John M. Alongi
  • Field(s) of Research:  Dynamical systems and ergodic theory, Mathematics education
  • Phone: 847-467-1874
  • Office Location: Lunt B3
  • E-mail:

Description of Research:  Notions of recurrence, Hyperbolic orbits and sets

Antonio Auffinger | Assistant Professor

Antonio Auffinger
  • Field(s) of Research:  Probability theory and stochastic processes
  • Phone: 847-491-5486
  • Office Location: Lunt B24
  • E-mail:

Description of Research:  Spin glasses, growth processes, and random matrix theory

Nir Avni | Associate Professor

Nir Avni
  • Field(s) of Research:  Model theory, Group theory and generalizations, Topological groups, Lie groups, Measure and integration, Dynamical systems and ergodic theory, Differential geometry
  • Phone: 847-491-5575
  • Office Location: Lunt 213
  • E-mail:

Description of Research:  Arithmetic groups, Representation Theory

Keith Burns | Professor

Keith Burns
  • Field(s) of Research:  Dynamical systems and ergodic theory
  • Phone: 847-491-3013
  • Office Location: Lunt B21
  • E-mail:

Description of Research:  Dynamical systems and ergodic theory

Elizabeth Burslem | Visiting Faculty

Elizabeth Burslem

Description of Research:  Dynamical Systems

Santiago Canez | Assistant Professor of Instruction

Santiago Canez
  • Field(s) of Research:  Symplectic geometry, contact geometry, Topological groupoids
  • Phone: 847-467-5211
  • Office Location: Lunt B27
  • E-mail:

Description of Research:  Symplectic Geometry and Mathematical Physics

Daniel Cuzzocreo | Visiting Faculty

Daniel Cuzzocreo

Description of Research:  I am interested in holomorphic dynamical systems. In particular, I am interested in structures in parameter spaces for families of rational maps.

Laura DeMarco | Professor

Laura DeMarco

Description of Research:  Dynamical systerms, complex analysis

John Francis | Assistant Professor

John Francis

Description of Research:  Topology

Brett Frankel | Postdoctoral Lecturer

John Franks | Professor

John Franks

Description of Research:  Dynamical Systems

Han Liang Gan | Postdoctoral Lecturer

Description of Research:  Distribution approximation using Stein's method, particularly for genetic drift models and stochastic processes under constraints.

Oran Gannot | RTG Postdoctoral Fellow

  • Field(s) of Research:  Partial differential equations
  • Phone: 847-491-5577
  • Office Location: Lunt 311

Ezra Getzler | Professor

Ezra Getzler

Description of Research:  Mathematical Physics

Paul Goerss | Professor

Paul Goerss
  • Field(s) of Research:  Stable homotopy theory, spectra
  • Phone: 847-491-8544
  • Office Location: Lunt 206
  • E-mail:

Description of Research:  Homotopy theory, particularly chromatic stable homotopy theory.

Yair Hartman | Boas Assistant Professor

Yair Hartman
  • Field(s) of Research:  Ergodic theory on groups, Measurable group actions, Random walks on graphs
  • Phone: 847-491-5544
  • Office Location: Lunt 304
  • E-mail:

Elton P. Hsu | Professor

Elton P. Hsu
  • Field(s) of Research:  Probability and Stochastic Analysis
  • Phone: 847-491-8541
  • Office Location: Lunt 205
  • E-mail:

Kenneth Jacobs | Boas Assistant Professor

Description of Research:  Arithmetic dynamics, with a particular emphasis on equidistribution results for families of measures attached to rational maps.

Xin Jin | Boas Assistant Professor

Xin Jin

Description of Research:  Xin Jin is interested in symplectic geometry and its applications in geometric representation theory.

Silas Johnson | Postdoctoral Lecturer

Silas Johnson

Description of Research:  Silas Johnson studies problems in arithmetic statistics, especially mass formulas and heuristics for number field counting.

Kate Juschenko | Assistant Professor

Kate Juschenko

Description of Research:  Analysis

Bryna Kra | Professor

Bryna Kra
  • Field(s) of Research:  Ergodic Theory, Topological Dynamics and Symbolic Dynamics
  • Phone: 847-491-5567
  • Office Location: Lunt 224
  • E-mail:

Description of Research:  Bryna Kra works in ergodic theory and dynamical systems, particularly on problems motivated by combinatorics and number theory.

Rostyslav Kravchenko | Visiting Faculty

Rostyslav Kravchenko

Description of Research:  elf-similar groups, ergodic theory

Rahul Krishna | Boas Assistant Professor

Description of Research:  Automorphic forms, special values of L-functions, and arithmetic.

Eugene Kushnirsky | Senior Lecturer

Eugene Kushnirsky

Description of Research:  Harmonic analysis on p-adic groups

Jan-Li Lin | Visiting Faculty

Jan-Li Lin

Description of Research:  Jan-Li Lin is interested in the behavior of rational maps under iterates.

Yifeng Liu | Assistant Professor

Yifeng Liu

Description of Research:  Number Theory and Algebraic Geometry -

Gang Liu | Assistant Professor

Description of Research:  Complex differential geometry, Gromov-Hausdorff convergence of Kahler manifolds

Michael Maltenfort | Lecturer

Michael Maltenfort
  • Field(s) of Research:  Recreational mathematics
  • Phone: 847-491-8916
  • Office Location: 1908 Sheridan, Room 106
  • E-mail:

Description of Research:  Math that is accessible to those whose background is limited to calculus or less

Joel Moreira | Boas Assistant Professor

Description of Research:  Convergence of ergodic averages and multiple recurrence with applications to arithmetic combinatorics and Ramsey theory.

Emmy Murphy | Assistant Professor

Description of Research:  Symplectic and contact geometry, h-principles, low dimensional topology.

Aaron Naber | Professor

Aaron Naber

Description of Research:  Ricci curvature, harmonic maps between Riemannian manifolds, minimal surfaces, Ricci flow, critical/nodal sets of elliptic equations, mean curvature flow, and collapsing theory.

Sam Nariman | Boas Assistant Professor

Description of Research:  Stable moduli space of manifold bundles, homotopy theory of foliations, diffeomorphism groups, homological stability.

Nguyen T. Nguyen | Postdoctoral Lecturer

Nguyen T. Nguyen
  • Field(s) of Research:  Boundary value problems for second-order elliptic equations, Boundary value problems for second-order elliptic systems
  • Phone: 847-467-1298
  • Office Location: Lunt B2
  • E-mail:

Description of Research:  Second-order linear elliptic boundary-value problems.

Kiran Parkhe | Visiting Faculty

Kiran Parkhe

Description of Research:  Kiran Parkhe's main research interest is group actions on manifolds.

Aaron Peterson | Assistant Professor of Instruction

Aaron Peterson
  • Field(s) of Research:  Several Complex Variables, Harmonic Analysis, Linear PDE, Singular Integral Operators, Sub-Riemannian Geometry.
  • Phone: 847-467-1823
  • Office Location: Lunt B23
  • E-mail:

Description of Research:  Several Complex Variables, Harmonic Analysis, Linear PDE, Singular Integral Operators, Sub-Riemannian Geometry.

Mihnea Popa | Professor

Mihnea Popa

Description of Research:  Algebraic geometry - Vanishing theorems in birational geometry; derived categories; Hodge theory; abelian varieties; moduli spaces.

Ursula Porod | Associate Professor of Instruction

Ursula Porod

Description of Research:  Probability Theory, Stochastic Processes - Random Walks on Lie Groups

Martha Precup | Postdoctoral Lecturer

Martha Precup

Description of Research:  Applications of Lie theory to algebraic geometry, and the related combinatorics.

Guillaume Roy-Fortin | Boas Assistant Professor

Guillaume Roy-Fortin
  • Field(s) of Research:  Partial differential equations on manifolds, Asymptotic distribution of eigenvalues and eigenfunctions, General topics in linear spectral theory
  • Phone: 847-491-5580
  • Office Location: 847-491-5553
  • E-mail:

Description of Research:  Geometric spectral theory. Growth and nodal sets of Laplace eigenfunctions. Shape optimization of eigenvalues.

Scott Schmieding | RTG Postdoctoral Fellow

Description of Research:  Symbolic Dynamics, Algebraic K theory

Linhui Shen | Boas Assistant Professor

Linhui Shen

Jason Siefken | Postdoctoral Lecturer

Jason Siefken

Description of Research:  Brief Description of Research Interest (researchdescription): Dynamical Systems, Symbolic Dynamics, Ergodic Theory, and Aperiodic Tilings.

Zahra Sinaei | Boas Assistant Professor

Zahra Sinaei

Description of Research:  Zahra Sinaei's principal research interest is in geometric analysis in both smooth and non-smooth settings.

Michael Stein | Professor

Michael Stein
  • Field(s) of Research:  Steinberg groups and $K_2$, Braid groups; Artin groups
  • Phone: 847-491-5524
  • Office Location: Lunt 228
  • E-mail:

Description of Research:  Braid Groups

Andrei Suslin | Professor

Andrei Suslin

Description of Research:  Algebraic K-theory, Algebraic Geometry

Ross Sweet | Postdoctoral Lecturer

Ross Sweet
  • Field(s) of Research:  Algebraic geometry, Algebraic topology, $K$-theory
  • Phone: 847-467-4827
  • Office Location: Locy 201
  • E-mail:

Description of Research:  Orbifold cohomology theories, such as virtual K-theory and Chen-Ruan orbifold cohomology along with their related topological field theories.

Behrouz Taji | Visiting Faculty

Description of Research:  Birational geometry and classification theory of complex spaces, positivity and stability properties of sheaves, moduli problems, canonical metrics and Hodge theory.

Dmitry Tamarkin | Professor

Dmitry Tamarkin

Description of Research:  Algebra and Homological Algebra

Valentino Tosatti | Professor

Valentino Tosatti

Description of Research:  Differential Geometry, PDE and Complex Algebraic Geometry

Boris Tsygan | Professor

Boris Tsygan
  • Field(s) of Research:  Noncommutative Algebraic Geometry
  • Phone: 847-467-6446
  • Office Location: Lunt B4
  • E-mail:

Description of Research:  Non-commutative geometry, index theory, microlocal analysis, deformation quantization, mathematical physics, and sympletic geometry.

Kari Vilonen | Professor

Kari Vilonen

Ben Weinkove | Professor

Ben Weinkove

Description of Research:  Hermitian and K√§hlerian manifolds, Geometric evolution equations, Nonlinear elliptic equations

Jared Wunsch | Professor

Jared Wunsch
  • Field(s) of Research:  Partial differential equations
  • Phone: 847-491-5580
  • Office Location: Lunt 221
  • E-mail:

Description of Research:  Spectral and scattering theory; microlocal analysis.

Zhihong Jeff Xia | Professor

Zhihong Jeff Xia

Description of Research:  Dynamical Systems - Xia's research is in the areas of Newtonian n-body problem, Hamiltonian dynamics and general hyperbolic and partially hyperbolic dynamical systems.

Jian Xiao | Boas Assistant Professor

Description of Research:  Complex algebraic and analytic geometry. Study of positivity in algebraic/Kaehler geometry by analytical (or transcendental) methods, including various tools from PDEs, several complex variables and convex analysis.

Sandy Zabell | Professor

Sandy Zabell

Description of Research:  Probability and Statistics

Eric Zaslow | Professor

Eric Zaslow
  • Field(s) of Research:  Mirror symmetry, symplectic aspects; homological mirror symmetry; Fukaya category, Mirror symmetry
  • Phone: 847-467-0486
  • Office Location: Lunt 209
  • E-mail:

Description of Research:  Mirror Symmetry, Mathematical Physics

Steve Zelditch | Professor

Steve Zelditch
  • Field(s) of Research:  Partial differential equations on manifolds, Analysis on CR manifolds, Asymptotic distribution of eigenvalues and eigenfunctions, Scattering theory, Random fields
  • Phone: 847-491-5574
  • Office Location: Lunt 223
  • E-mail:

Description of Research:  Complex Geometry, Mathematical Physics

Qiang Zeng | Boas Assistant Professor

  • Field(s) of Research:  Probability, Funcional Analysis
  • Phone: 847-467-0714
  • Office Location: Lunt 106A
  • E-mail:

Description of Research:  Qiang's research interests lie in the interface of probability and functional analysis

Yifei Zhu | Visiting Faculty

Yifei Zhu

Description of Research:  Algebraic Topology - Chromatic homotopy theory.