Skip to main content

Faculty by Research Group

Theoretical Computer Science - Primary Interest

Matthew Harrison-Trainor Associate Professor PhD 2017, University of California, Berkeley. The Complexity of Countable Structures advised by Antonio Montalban
Vishesh Jain Associate Professor PhD 2020, Massachusetts Institute of Technology. Quantitative invertibility of random matrices: a combinatorial perspective advised by Elchanan Mossel
Lev Reyzin Professor PhD 2009, Yale University. Active Learning of Interaction Networks advised by Dana Angluin
Gyorgy Turan Professor Emeritus PhD 1981, Joszef Attila University, Hungary. On the definability and local recognizability of graph properties advised by Laszlo Lovasz
Marcus Michelen Assistant Professor PhD 2019, University of Pennsylvania. Percolation on Galton-Watson Trees advised by Robin Pemantle

Theoretical Computer Science - Secondary Interest

Nobody in this category at the moment.

Probability, Statistics, and Data Science - Primary Interest

Kyunghee Han Associate Professor PhD 2017, Seoul National University. Smooth backfitting in errors-in-variables additive models advised by Byeong Uk Pak
Dibyen Majumdar Professor Emeritus PhD 1981, Indian Statistical Institute. Statistical Analysis of Nonestimable Functionals advised by Sujit K. Mitra
Cheng Ouyang Professor PhD 2009, Northwestern University. Asymptotics of Implied Volatility in Local Volatility Models advised by Elton Hsu
Jennifer Pajda-De La O Clinical Associate Professor PhD 2016, University of Illinois at Chicago. On the Law of Iterated Logarithms for Brownian Motion on Compact Manifolds advised by Cheng Ouyang
Jing Wang Professor PhD 2006, Michigan State University. Polynomial spline smoothing: confidence band and additive model advised by Lijian Yang
Yichao Wu Professor PhD 2006, University of North Carolina at Chapel Hill. Probability Approximation with Application in Computational Finance and Computational Biology advised by Harry Heard, Chuanshu Ji
Jie Yang Professor PhD 2006, University of Chicago. I. Infinite Exchangeability & Partitions; II. Permanent Processes & Classification Models advised by Peter McCullagh
Min Yang Professor PhD 2002, University of Illinois at Chicago. Universal optimality in crossover design and statistical methods in assessing agreement. advised by Samad Hedayat
Ping-Shou Zhong Professor PhD 2011, Iowa State University. Topics in high dimensional statistical inference and ANOVA for longitudinal data advised by Song Xi Chen

Probability, Statistics, and Data Science - Secondary Interest

Nobody in this category at the moment.

Number Theory - Primary Interest

Alina Carmen Cojocaru Professor PhD 2002, Queen's University. advised by M. Ram Murty
Nathan Jones Research Professor PhD 2005, University of California - Los Angeles. Almost All Elliptic Curves Are Serre Curves. advised by William Duke
Ramin Takloo-Bighash Professor PhD 2001, Johns Hopkins University. The integral of Novodvorsky and local p-adic factors of the spinor L functions for GSp(4) advised by Joseph A. Shalika
Richard A. P. Birkett Research Assistant Professor PhD 2023, University of Notre Dame. Algebraic Stability and Skew Products on the Berkovich Projective Line advised by Jeffrey Diller
Frederick Saia Research Assistant Professor PhD 2023, University of Georgia. Number theory and arithmetric geometry advised by Pete Clark

Number Theory - Secondary Interest

Nobody in this category at the moment.

Mathematical Education - Primary Interest

Martina Bode Clinical Professor PhD 1996, Brandeis University. Homogeneous vector bundles on symplectic Grassmannians advised by Marc Levine
Alison Castro Superfine Professor PhD 2006, University of Michigan. Planning for mathematics instruction: A study of the teacher guide as a resource. advised by Edward Silver
Andrew Cousino Lecturer PhD 2013, Kansas State University. Using Bayesian Learning to Classify College Algebra Students by Understanding in Real-time advised by Andrew Bennett
Billy Jackson Clinical Associate Professor PhD 2007, Baylor University. A General Linear Systems Theory on Time Scales: Transforms, Stability, and Control advised by John M. Davis
Danny Martin Professor PhD 1997, University of California, Berkeley.
Mara Martinez Associate Professor PhD 2008, Tufts University. Mathematics Education advised by Barbara Brizuela
Phi Nguyen Assistant Professor PhD 2023, University of Missouri-Columbia. Where are the boundaries of mathematics education (policy)?: Comparing two school districts and their subject-matter contexts advised by Charles Munter
Kevin Whyte Professor PhD 1998, University of Chicago. The geometry of discrete metric spaces advised by Shmuel Weinberger

Mathematical Education - Secondary Interest

Nobody in this category at the moment.

Logic - Primary Interest

Gabriel Conant Associate Professor PhD 2015, University of Illinois at Chicago. Model Theory and Combinatorics of Homogeneous Metric Spaces advised by David Marker
Fred Drueck Research Assistant Professor PhD 2012, University of Illinois at Chicago. Limit Models, Superlimit Models, and Two Cardinal Problems in Abstract Elementary Classes advised by John Baldwin
Christine Eagles Research Assistant Professor PhD 2026, University of Waterloo. Contributions to the model theory of algebraic differential equations advised by Rahim Moosa
James Freitag Professor PhD 2012, University of Illinois at Chicago. Model Theory and Differential Algebraic Geometry advised by David Marker
Matthew Harrison-Trainor Associate Professor PhD 2017, University of California, Berkeley. The Complexity of Countable Structures advised by Antonio Montalban
Scott Mutchnik Research Assistant Professor PhD 2023, University of California, Berkeley. On the classification of unstable first-order theories advised by Thomas Scanlon
Ronnie Nagloo Associate Professor PhD 2014, University of Leeds. Model theory, Algebra and Differential Equations advised by Anand Pillay
Caroline Terry Associate Professor PhD 2016, University of Illinois at Chicago. Model Theory and Extremal Combinatorics: Structure, Enumeration, and 0-1 laws advised by David Marker and Dhruv Mubayi

Logic - Secondary Interest

Andrew Cousino

Geometry and Topology - Primary Interest

Emily Dumas Professor PhD 2004, Harvard University. Complex Projective Structures, Grafting, and Teichmuller Theory advised by Curt McMullen
Daniel Groves Professor PhD 2000, University of Oxford. Problems in Lie Rings and Groups advised by Michal Vaughan-Lee
Julius Ross Professor PhD 2004, Imperial College, London. Instability of Polarised Algebraic Varieties advised by Simon Donaldson and Richard Thomas
Laura Schaposnik Professor PhD 2013, University of Oxford. Spectral data for G-Higgs bundles advised by Nigel Hitchin
Brooke Shipley Professor PhD 1995, Massachusetts Institute of Technology. Convergence of the homology spectral sequence of a cosimplicial space advised by Haynes R. Miller
Wouter Van Limbeek Associate Professor PhD 2015, University of Chicago. Discrete and continuous aspects of local symmetry advised by Benson Farb
Kevin Whyte Professor PhD 1998, University of Chicago. The geometry of discrete metric spaces advised by Shmuel Weinberger
Benjamin Call Research Assistant Professor PhD 2022, The Ohio State University. Uniqueness and Mixing Properties of Equilibrium States advised by Daniel Thompson
Christopher Mahadeo Research Assistant Professor PhD 2023, University of Saskatchewan. Twisted Higgs bundles, topological recursion, and quantum curves advised by Steven Rayan
Nolan Schock Research Assistant Professor PhD 2022, University of Georgia. Geometry of Tropical Compactification of Moduli Spaces advised by Valery Alexeev

Geometry and Topology - Secondary Interest

Nobody in this category at the moment.

Ergodic Theory and Dynamical Systems - Primary Interest

Alexander Furman Professor PhD 1996, The Hebrew University of Jerusalem. Ergodic actions of groups advised by Benjamin Weiss
Osama Khalil Associate Professor PhD 2019, The Ohio State University. On the Dimension of Certain Divergent Trajectories on Homogeneous Spaces and Diophantine Approximation advised by Nimish Shah
Richard A. P. Birkett Research Assistant Professor PhD 2023, University of Notre Dame. Algebraic Stability and Skew Products on the Berkovich Projective Line advised by Jeffrey Diller
Felix Lequen Research Assistant Professor PhD 2023, CY Cergy Paris Universite. Random Ergdic Properties of Some Singular Holomorphic Foliations and Lie Groups advised by Bertrand Deroin
Nicole Looper Associate Professor PhD 2018, Northwestern University. Uniformity in Polynomial Dynamics: Canonical Heights, Primitive Prime Divisors, and Galois Representations advised by Laura DeMarco

Ergodic Theory and Dynamical Systems - Secondary Interest

Nobody in this category at the moment.

Combinatorics and Probability - Primary Interest

Nicholas Christo Teaching Assistant
Vishesh Jain Associate Professor PhD 2020, Massachusetts Institute of Technology. Quantitative invertibility of random matrices: a combinatorial perspective advised by Elchanan Mossel
Haoran Luo Research Assistant Professor PhD 2025, University of Illinois - Urbana Champaign. Extremal problems on hypergraphs and set families advised by Jozsef Balogh
Dhruv Mubayi Professor PhD 1998, University of Illinois at Urbana-Champaign. Extremal Problems in Graph Theory: Degree Sequences, Distance, Colorings, and Labellings advised by Douglas West
Cheng Ouyang Professor PhD 2009, Northwestern University. Asymptotics of Implied Volatility in Local Volatility Models advised by Elton Hsu
Caroline Terry Associate Professor PhD 2016, University of Illinois at Chicago. Model Theory and Extremal Combinatorics: Structure, Enumeration, and 0-1 laws advised by David Marker and Dhruv Mubayi
Gyorgy Turan Professor Emeritus PhD 1981, Joszef Attila University, Hungary. On the definability and local recognizability of graph properties advised by Laszlo Lovasz
Marcus Michelen Assistant Professor PhD 2019, University of Pennsylvania. Percolation on Galton-Watson Trees advised by Robin Pemantle

Combinatorics and Probability - Secondary Interest

Nobody in this category at the moment.

Analysis and Partial Differential Equations - Primary Interest

Jerry Bona Professor Emeritus PhD 1971, Harvard University. Cauchy problems with random initial data in spaces of tempered distributions advised by Garret Birkhoff
Mimi Dai Professor PhD 2012, University of California - Santa Cruz. Properties of solutions to Liquid Crystal stystems and Magneto-hydrodynamic systems advised by Maria Schonbek
Michael Greenblatt Professor PhD 1998, Princeton University. A method for providing boundedness of singular Radon transforms in codimension 1 advised by Elias M. Stein
Irina Nenciu Professor PhD 2005, California Institute of Technology. Lax pairs for the Ablowitz-Ladik system via orthogonal polynomials on the unit circle advised by B. Simion
David Nicholls Professor PhD 1998, Brown University. Traveling Gravity Water Waves in Two and Three Dimensions advised by Walter Craig
Roman Shvydkoy Professor PhD 2001, University of Missouri, Columbia. Operators and integrals in Banach spaces advised by N. Kalton and Y. Latushkin
Christof Sparber Professor PhD 2004, University of Vienna. Rigorous results in nonlinear quantum dynamics advised by Peter Markowich
Benjamin Call Research Assistant Professor PhD 2022, The Ohio State University. Uniqueness and Mixing Properties of Equilibrium States advised by Daniel Thompson

Analysis and Partial Differential Equations - Secondary Interest

Nobody in this category at the moment.

Applied and Computational Mathematics - Primary Interest

Rafail Abramov Professor PhD 2002, Rensselaer Polytechnic Institute. advised by Andrew Majda, Gregor Kovacic
Gerard Awanou Professor PhD 2003, University of Georgia. Energy methods in 3D spline approximations of Navier-Stokes equations advised by Ming-Jun Lai
Jerry Bona Professor Emeritus PhD 1971, Harvard University. Cauchy problems with random initial data in spaces of tempered distributions advised by Garret Birkhoff
Mimi Dai Professor PhD 2012, University of California - Santa Cruz. Properties of solutions to Liquid Crystal stystems and Magneto-hydrodynamic systems advised by Maria Schonbek
Billy Jackson Clinical Associate Professor PhD 2007, Baylor University. A General Linear Systems Theory on Time Scales: Transforms, Stability, and Control advised by John M. Davis
David Nicholls Professor PhD 1998, Brown University. Traveling Gravity Water Waves in Two and Three Dimensions advised by Walter Craig
Roman Shvydkoy Professor PhD 2001, University of Missouri, Columbia. Operators and integrals in Banach spaces advised by N. Kalton and Y. Latushkin
Jan Verschelde Professor PhD 1996, Katholieke Universiteit Leuven, Belgium. Homotopy continuation methods for solving polynomial systems advised by Ann Haegemans; Hugo Van de Vel

Applied and Computational Mathematics - Secondary Interest

Nobody in this category at the moment.

Algebra and Algebraic Geometry - Primary Interest

Izzet Coskun Professor PhD 2004, Harvard University. Degenerations of scrolls and Del Pezzo surfaces and applications to enumerative geometry advised by Joe Harris
Lawrence Ein Professor PhD 1981, University of California, Berkeley. Vector bundles on pn advised by Robin Hartshorne
Philip Engel Associate Professor PhD 2015, Columbia University. A Proof of Looijenga's Conjecture via Integral-affine Geometry advised by Robert David Friedman
Olga Kashcheyeva Research Associate Professor PhD 2003, University of Missouri, Columbia. Monomialization of strongly prepared morphisms to surfaces advised by S. D. Cutkosky
Julius Ross Professor PhD 2004, Imperial College, London. Instability of Polarised Algebraic Varieties advised by Simon Donaldson and Richard Thomas
Kevin Tucker Professor PhD 2010, University of Michigan. Jumping Numbers and Multiplier Ideals on Algebraic Surfaces advised by Karen E. Smith
Wenliang Zhang Professor PhD 2008, University of Minnesota. Lyubeznik numbers advised by Gennady Lyubeznik
Ben Bakker Associate Professor PhD 2010, Princeton University. Hodge polynomials of moduli spaces of stable pairs on K3 surfaces advised by Rahul Pandharipande
Benjamin Call Research Assistant Professor PhD 2022, The Ohio State University. Uniqueness and Mixing Properties of Equilibrium States advised by Daniel Thompson
Shiji Lyu Research Assistant Professor PhD 2023, Princeton University. Splinter-type singularities via ultrapower advised by Janos Kollar
Gwyneth Moreland Research Assistant Professor PhD 2023, Harvard University. On the nef and effective cones of Hilbert schemes of points in projective space. advised by Joe Harris
Eamon Quinlan-Gallego Research Assistant Professor PhD 2021, University of Michigan. Bernstein-Sato theory in positive characteristic advised by Karen Smith
Nolan Schock Research Assistant Professor PhD 2022, University of Georgia. Geometry of Tropical Compactification of Moduli Spaces advised by Valery Alexeev

Algebra and Algebraic Geometry - Secondary Interest

Nobody in this category at the moment.