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

Tsao-Hsien Chen | Boas Assistant Professor

Tsao-Hsien Chen

Description of Research:  Algebraic geometry and representation theory - I am interested in geometric representation theory.

Sheng-Fu Chiu | Visiting Faculty

Sheng-Fu Chiu
  • Field(s) of Research:  Microlocal methods; methods of sheaf theory and homological algebra in PDE, Mirror symmetry, symplectic aspects; homological mirror symmetry; Fukaya category, Deformation quantization, star products
  • Phone: 847-467-4776
  • Office Location: Locy 210A
  • E-mail:

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.

Diana Davis | Postdoctoral Lecturer

Diana Davis
  • Field(s) of Research:  Hyperbolic systems with singularities, Symbolic dynamics, Tilings in \(2\) dimensions
  • Phone: 847-491-2853
  • Office Location: Lunt B22
  • E-mail:

Description of Research:  Geometry and dynamics - The symbolic dynamics of sequences associated to geodesic trajectories on polygon surfaces; polygonal tilings.

Laura DeMarco | Professor

Laura DeMarco

Description of Research:  Dynamical systerms, complex analysis

John Francis | Assistant Professor

John Francis

Description of Research:  Topology

John Franks | Professor

John Franks

Description of Research:  Dynamical Systems

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.

Matthew Graham | Visiting Faculty

Matthew Graham

Description of Research:  Low Dimensional Topology - Embedding surfaces in 4-space, Knot Theory, Heegaard Floer Homology

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:

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.

Theodore Johnson-Freyd | Boas Assistant Professor

Theodore Johnson-Freyd
  • Field(s) of Research:  Quantum field theory, Category theory, homological algebra, Feynman diagrams, Topological quantum field theories, Homotopical algebra, Lie algebras and Lie superalgebras, Poisson manifolds, Poisson groupoids and algebroids, Operads
  • Phone: 847-491-4977
  • Office Location: Lunt 312
  • E-mail:

Description of Research:  Quantum field theory, topological quantum field theory, Feynman diagrams, quantization, Poisson geometry, category theory, homotopical algebra, representation theory

Kate Juschenko | Assistant Professor

Kate Juschenko

Description of Research:  Analysis

Nabil Kahouadji | Visiting Faculty

Nabil Kahouadji
  • Field(s) of Research:  Curves in Euclidean space, Surfaces in Euclidean space, Higher-dimensional and -codimensional surfaces in Euclidean $n$-space, Minimal surfaces, surfaces with prescribed mean curvature, Local Riemannian geometry, Local submanifolds
  • Phone: 847-467-2221
  • Office Location: Locy 205
  • E-mail:

Description of Research:  Differential geometry: Exterior differential systems, Cartan-Kähler theory, (generalized) isometric embeddings, conservation Laws, pseudo-spherical surfaces, evolution and hyperbolic equations, and geometric aspects in PDEs.

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

Eugene Kushnirsky | Senior Lecturer

Eugene Kushnirsky

Description of Research:  Harmonic analysis on p-adic groups

Sara Lapan | Visiting Faculty

Sara Lapan
  • Field(s) of Research:  Polynomials; rational maps; entire and meromorphic functions, Iteration problems
  • Phone: 847-467-4827
  • Office Location: 201 Locy Hall
  • E-mail:

Description of Research:  Holomorphic dynamics

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 -

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

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.

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 | Postdoctoral Lecturer

Aaron Peterson

Description of Research:  Several Complex Variables, Linear PDE, and Harmonic Analysis - Regularity properties of the Szego and Bergman kernels in unbounded pseudoconvex domains, boundary regularity of the Dbar-Neumann problem in pseudoconvex domains.

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: Lunt 221
  • E-mail:

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

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: 847-467-2321
  • Office Location: Lunt B26
  • E-mail:

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

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 Kählerian 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.

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.