Special Topics Course Archive

The following special topics courses were offered in the past.

Spring 2024

• Math 519-001 - p-adic analysis and zeta functions (Doug Haessig)
• Math 529-002 - Proof Writing and Proof Checking with a Computer (Sergey Cherkis)
• Math 577-001 - Monte Carlo Methods (Ibrahim Fatkullin)
• Math 588-001 - Infinite-Dimensional Analysis and Quantum Theory (Janek Wehr)

Fall 2023

• Math 518-001 - Homological Algebra (Klaus Lux)
• Math 529-001 - Optimal transport and its applications (Chris Hernderson)
• Math 577-001 - Stochastic Control & Learning (Misha Chertkov)
• Math 577-002 - High Dimensional Probability and Nonasymptotic Statistics (Ning Hao)

Spring 2023

• Math 519-001 - Modular Forms and Representation Theory - (Hang Xue)
• Math 577-001 - Theoretical Fluid Dynamics - (Laura Miller)
• Math 577-002 - Information, Energy and Machine Learning - (Marek Rychlik)
• Math 588-001 - Spectral Theory and Quantum Mechanics - (Janek Wehr)

Fall 2022

• Math 538-001 - Geometric Invariant Theory and Moduli Problems - (Yi Hu)
• Math 577-001 - Inference, Learning and Optimization with Graphs and Networks – (Michael Chertkov)
• Math 577-002 - Introduction to Information Theory – (Janek Wehr)

Spring 2022

• Math 518-001 - p-adic Analysis and Zeta Functions - (C. Douglas Haessing)
• Math 577-001 - Monte Carlo Methods – (Kevin Lin)

Special topics courses for Spring 2021

• Math 519-001 - Introduction to p-adic Hodge theory - (Brandon Levin)
• Math 577-001 - Computability and Logic – (Janek Wehr)

Special topics courses for Spring 2020

• Math 529-001 -  Riemann-Hilbert Problems and Their Applications - (Nick Ercolani)
• Math 538-001 - Topology in Physics – (Sergey Cherkis)
• Math 538-002 - Discrete Geometry and Geometric Graph Theory – (David Glickenstein)
• Math 538-003 - Symplectic Geometry and Integrable Systems – (Anton Izosimov)
• Math 577-001 - Advanced Linear Algebra for Data Science – (Keaton Hamm)
• Math 577-002 - A Look Inside the “Nature of Computation” – (Marek Rychlik)

Special topics courses for Fall 2019

• Math 518-001 - Algebras and Their Representations – (Klaus Lux) 
• Math 577-001 - Algorithmic and Computational Statistics – (Robert Maier)
• Math 577-002 - Recurrent Neural Networks and Optical Character Recognition – (Marek Rychlik)

Special topics courses for Spring 2019

• Math 519-001 - Modular Forms and Representation Theory – (Hang Xue)
• Math 577-001 – Monte Carlo Methods – (Kevin Lin)   
• Math 588-001 - Solitons in Mathematics and Physics – (Vladimir Zakharov)

Fall 2018

• Math 529-001 Topics in Partial Differential Equations (Janek Wehr)
• Math 577-001 Big Data and Neural Computing (Marek Rychlik)

Spring 2018

• Fall 2017Math 529-001 Mathematical foundations of data assimilation and inverseproblems- Part II (Matti Morzfeld)
• Math 577-001 Mathematical Neuroscience (Calvin Zhang)

Fall 2017

• Math 529-001 Mathematical foundations of data assimilation and inverse problems (Matti Morzfeld)
• Math 577-001 Algorithmic and Computational Statistics (Robert Maier)

Spring 2017

• Math 519-1: Topics in Number Theory (Hang Xue)
• Math 538-1: Graph Theory (David Glickenstein)
• Math 577-1: Discrete Dynamical Systems and their Applications (Nick Ercolani)
• Math 588-1: New Ideas in Nonequilibrium Statistical Mechanics (Janek Wehr)
• Math 588-2: Solitons in Mathematics and Physics (Vladimir Zakharov)

Fall 2016

• Math 529-1: Introduction to Micro-local analysis (Lennie Friedlander)
• Math 577-1: Information and Coding (Marek Rychlik)

Spring 2016

• Math 538-1: Introduction to String Theory (Sergey Cherkis)
• Math 577-2: Monte Carlo Methods (Tom Kennedy)

Fall 2015

• Math 518-1 - Algebras and their representations (Professor Klaus Lux)
• Math 529-1 -  Introduction to the Analysis and Geometry of Markov Diffusion Operators (Professor Lotfi Hermi)
• Math 538-1 - Topics on Birational Geometry and Singularities (Professor Yi Hu)

Spring 2015

• Math 529-1 - Multivariate Statistics (Professor Ning Hao)
• Math 529-2 - Solitons in Mathematics and Physics (Professor Vladimir Zakharov)
• Math 588-1 - Quantum Computation (Professor Janek Wehr)

Fall 2014

• Math 519-1 - Automorphic Representations (Professor David Savitt)
• Math 529-2 - Introduction to the Spectral Theory of Partial Differential Equations (Professor Lotfi Hermi)

Spring 2014

• Math 538-1 - Geometry of Yang-Mills Theory (Professor Sergey Cherkis)
• Math 538-2 - Deformation Theory and Applications (Professor Yi Hu)

Fall 2013

• Math 518 - Algebraic Groups and Finite Groups of Lie Type (Professor Pham Tiep)
• Math 529 - Analytical Combinatorics of Random Maps (Professor Nick Ercolani)
• Math 538 - Topics on Moduli Spaces, Deformation Theory and Stacks (Professor Yi Hu)
• Math 577-1 - Convex Analysis and Variational Problems (Professor Bin Dong)
• Math 577-2 - Algorithmic and Computational Statistics (Professor Robert Maier)

Spring 2013

• Math 529 - Asymptotic analysis in the complex domain with applications to random matrices(Professor Ken McLaughlin)
• Math 538-1 - Introduction to Geometric Invariant Theory and Moduli Spaces (Professor Yi Hu)
• Math 577-1 - Monte Carlo Methods (Professor Kevin Lin)
• Math 577-2 - Applied Functional Analysis (Professor Shankar Venkataramani)

Fall 2012

• Math 518 - Homological Algebra (Professor Romyar Sharifi)
• Math 596A - Computatbility and Logic (Professor Jan Wehr)

Spring 2012

• Math 577-2 - Quantum Information and Error Correction (Professor Marek Rychlik)
• Math 588-1 - Large Scale Stochastic Dynamics (Professor Sunder Sethuraman)
• Math 588-2 - Solitons in Mathematics and Physics (Professor Vladimir Zakharov)

Fall 2011

• Math 518-1 - Algebraic Groups and Finite Groups of Lie Type (Professor Pham Tiep)

Spring 2011

• Math 529-1 - Infinite Dimensional Analysis (Professor Jan Wehr)
• Math 588-2 - Differential Geometry, General Relativity, and Cosmology (Professor Vladimir Zakharov)

Fall 2010

• Math 519-1 - Iwasawa Theory (Professor Romyar Sharifi)

Spring 2010

• Math 538-1 - Algebraic curves and their moduli (Professor Ana-Maria Castravet)

Fall 2009

• Math 519-1 - The Local Langlands Conjecture for GL(2) (Professor David Savitt)
• Math 577-2 - Information Theory, Inference, and Learning Algorithms (Professor Marek Rychlik)

Spring 2009

• MATH 518-1 – Integral Lattices, Linear Codes, and Finite Groups (Professor Pham Tiep)
• MATH 538-1 – Ricci flow and the Poincare Conjecture (Professor David Glickenstein)
• MATH 577-1 – Dynamical Models of Neuronal Computation (Professor Kevin Lin)

Fall 2008

• MATH 519-1 – Function Field Arithmetic (Professor Dinesh Thakur)
• MATH 519-2 – Tate's Thesis (Professor David Savitt)

Spring 2008

• MATH 518-1 – Commutative Algebra (Professor Ana-Maria Castravet)
• MATH 519-1 – Representations of p-adic groups (Professor C. Ryan Vinroot)
• MATH 529-1 – Universality: Singular limits of partial differential equations and random matrices(Professor Ken McLaughlin)
• MATH 538-1 – Topics on Mirror Symmetry (Professor Yi Hu)

Fall 2007

• MATH 518-1 – Homological Algebra (Professor Klaus Lux)

Spring 2007

• MATH 519-1 – Topics in Arithmetical Algebraic Geometry (Professor Douglas Ulmer)
• MATH 538-1 – Introduction to Circle Packing: The Theory of Discrete Analytic Functions(Professor David Glickenstein)
• MATH 588-1 – Introduction to the Theory of Nonlinear Waves (Professor Vladimir Zakharov)

Fall 2006

• MATH 538-2 – Geometry and dynamics of geodesic flows and billiards (Professor Maciej Wojtkowski)

Spring 2006

• MATH 518-1 – Introduction to Commutative Algebra (Professor Kirti Joshi)
• MATH 538-1 – Topics in the Geometry of Groups (Professor Dorin Dumitrascu)
• MATH 577-1 – Inference from Data and Models in Geosciences and Engineering (Professor Juan Restrepo)
• MATH 488/588-1 – Solitons in Mathematics and Physics (Professor Vladimir Zakharov)
• MATH 588-2 – Mathematics of Quantum Computation (Professor Haru Pinson)

Fall 2005

• MATH 518-1 – Automatic Theorem Proving and Discovery (Professor Marek Rychlik)
• MATH 529-1 – The Atiyah–Singer Index Theorem (Professor Dorin Dumitrascu)
• MATH 538-1 – Introduction to Geometric Invariant Theory and Moduli Spaces (Professor Yi Hu)

Spring 2005

• MATH 519-1 – Zeta Functions (Professor Minhyong Kim)
• MATH 529 – Schramm–Loewner Evolutions and Two-Dimensional Statistical Physics (Professor Tom Kennedy)
• MATH 519-2 – Introduction to automorphic forms and representations (Professor Kirti Joshi)
• MATH 518 – Automated Theorem Proving and Discovery (Professor Marek Rychlik)
• MATH 588 – General Relativity and Elements of Cosmology (Professor Vladimir Zakharov)

Special Topics Fall 2004

• MATH 519-1 – An introduction to the arithmetic of elliptic curves (Professor Kirti Joshi)
• MATH 529-1 – Random matrices (Professors Nicholas Ercolani and Hermann Flaschka)
• MATH 538-1 – Symplectic geometry (Professor Philip Foth)
• MATH 577-1 – Fourier Analysis and Approximation Theory (Professor Maurice Hasson)

Other course information for Fall 2004

Here are descriptions of regular courses for Fall 2004 whose content varies from semester to semester.

• MATH 506A-1 – Research on the Learning of Mathematics (Professor Rebecca McGraw)
• MATH 517A-1 – Group Theory (Professor Klaus Lux)
• MATH 528A-1 – Banach and Hilbert Space (Professor William Faris)
• MATH 536-1 – Algebraic Geometry (Professor Yi Hu)
• MATH 541-1 – Introduction to Mathematical Physics (Professor Jan Wehr)
• MATH 554-1 – Ordinary Differential Equations (Professor Shankar Venkataramani)
• MATH 582-1 – Applied Complex Analysis (Professor Ken McLaughlin)

Spring 2004

• MATH 577 – Large Sample Theory of Statistics (Professor Rabinda Bhattacharya)
• MATH 529 – Introduction to Micro-local Analysis (Professor Leonid Friedlander)
• MATH 518 – Introduction to Commutative Algebra (Professor Kirti Joshi)
• MATH 577 – Inverse Modeling in the Geosciences and Engineering (Professor Juan Restrepo)
• MATH 518 – Problem Solving and Theorem Proving with Symbolic Computation (Professor Marek Rychlik)
• MATH 588 – General Relativity and Elements of Cosmology (Professor Vladimir Zakharov)

Fall 2003

• MATH 518 – Computational Group Theory (Professor Klaus Lux)
• MATH 577 – Software Tools for Bioinformatics (Professor Robert Maier)
• MATH 577 – Wave Turbulence (Professor Alan Newell)
• MATH 596A – Topics in Math (Professor Joe Watkins)

Spring 2003

• MATH 577 – Pattern Formation (Professor Joceline Lega)

Fall 2002

• MATH 529 – Fourier analysis on number fields (Professor Haru Pinson)
• MATH 577 – Software Tools for Bioinformatics (Professor Robert Maier)

Other 2001-2002?

• Symplectic and Poisson Geometry
• Homological Algebra

Spring 2002

• MATH 577 – Fluid Turbulence (Professor Greg Eyink)

Fall 2001

• MATH 577 – Software Tools for Bioinformatics (Professor Robert Maier)

Spring 2001

• MATH 588 – Introduction to General Relativity (Professor Vladimir Zakharov)

Other 1999-2000?

• Computational Methods in Algebraic Geometry and Commutative Algebra

Spring 2000

• MATH 588 – Pattern Formation (Professor Alan Newell)

Fall 1999

• MATH 577 – Introduction to Complex Dynamical Systems (Professor Marek Rychlik)

Other 1998-1999?

• Scientific Computing

Spring 1999

• MATH 519 – Modular Curves and Modular Forms (Professor Doug Ulmer)
• MATH 577 – Modern Software Tools (Professor Robert Maier)
• MATH 577 – Geometric Methods in Differential Equations (Professor Martin Juras)

Fall 1998

• MATH 577 – Introduction to Structured Population Dynamics (Professor Jim Cushing)

Other 1997-1998?

• Topics in Algebraic Geometry

Spring 1998

• MATH 577 – Modern Computing (Professor Robert Maier)

Fall 1997

• MATH 588 – Group Theory and Physics (Professor Jan Wehr)

Note: The Geostatistics course, seen repeatedly below, became a regular catalog course in Fall 1997. Although still offered each year, it is no longer a "special topics" course, and thus does not appear above.

Other 1996-1997?

• Mechanics, Symmetry, and Bifurcations

Spring 1997

• MATH 577 – Fronts in Dissipative PDEs (Professor Jack Xin)
• MATH 577 – Geostatistics (Professor Don Myers)
• MATH 577 – Mathematics of Symbolic Computation (Professor Marek Rychlik)

Spring 1996

• MATH 577 – Mechanics, Symmetry, & Bifurcations (continued) (Professor Hermann Flaschka)
• MATH 577 – Advanced Geostatistics (Professor Don Myers)

Fall 1995

• MATH 577 – Mechanics, Symmetry, & Bifurcations (Professor Hermann Flaschka)
• MATH 577 – Geostatistics (Professor Don Myers)

Other 1994-1995?

• Dynamic Theory
• Introduction to Spectral Theory
• Percolation Theory

Spring 1995

• Math 588, [TITLE MISSING] (Professor Jan Wehr)
• MATH 538 – Algebraic and Abelian Functions (Professor Greg Anderson)

Fall 1994

• MATH 577 – Water Waves (Dynamic Theory) (Professor Vladimir Zakharov)
• MATH 588 – The Renormalization Group in Mathematical Physics (Professor Tom Kennedy)

Other 1993-1994?

• An Algebraic Introduction to Combinatorics and Geometry
• Number Theory
• Stochastic Analysis and Modeling of Complex Systems

Spring 1994

• MATH 577 – Advanced Geostatistics (Professor Don Myers)

Fall 1993

• MATH 577 – Geostatistics (Professor Don Myers)

Other 1992-1993

• Differential Geometry
• Dynamics and Bifurcations
• Hodge Theory
• Turbulence

Spring 1993

• MATH 577 – Nonlinear Optics (Professor Jerome Moloney)
• MATH 577 – Chaos & Integrability in Nonlinear Dynamics (Professor Michael Tabor)

Fall 1992

• MATH 577 – Geostatistics (Professor Don Myers)
• MATH 577 – Nonlinear Optics (Professor Alan Newell)
• MATH 577 – Chaos & Integrability in Nonlinear Dynamics (Professor Michael Tabor)

Spring 1991

• MATH 577 – Advanced Geostatistics (Professor Don Myers)

Fall 1991

• MATH 577 – Geostatistics (Professor Don Myers)

Fall 1990

• MATH 577 – Geostatistics (Professor Don Myers)

Fall 1989

• MATH 577 – Geostatistics (Professor Don Myers)

Spring 1989

• MATH 577 – Advanced Geostatistics (Professor Don Myers)

Fall 1988

• MATH 577 – Geostatistics (Professor Don Myers)

Fall 1987

• MATH 577 – Geostatistics (Professor Don Myers)

Fall 1986

• MATH 577 – Geostatistics (Professor Don Myers)

Spring 1986

• MATH 577 – Advanced Geostatistics (Professor Don Myers)

Fall 1985

• MATH 577 – Geostatistics (Professor Don Myers)

Fall 1984

• MATH 577 – Geostatistics (Professor Don Myers)

Fall 1983

• MATH 577 – Geostatistics (Professor Don Myers)

Fall 1982

• MATH 577 – Geostatistics (Professor Don Myers)