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Slideshow

Graduate Courses

Spring 2026

8020 Commutative Algebra, Dino Lorenzini
8030 Topics in Geometric Representation Theory, Alberto San Miguel Malaney
8315 Cohomology of Sheaves, Valery Alexeev
8430 Topics in Arithmetic Geometry, Dino Lorenzini
8440 Combinatorial Number Theory, Georgios Petridis

Fall 2025

8000 Algebra, Nate Harman
8130 Linear and polynomial progressions in the primes, Akos Magyar
8190 Algebraic Groups, Daniel Nakano
8320 Algebraic Curves, Hulya Arguz
8330 Intersection Theory, Pierrick Bousseau
8410 Algebraic Number Theory II, Pete L. Clark

Spring 2025

8030 Topics in Algebra (category theory for representation theorists) - Harman
8030 Homological Algebra - Lorenzini
8330 Topics in Algebraic Geometry (Hodge theory) - Bousseau
8440 Topics in Number Theory (combinatorial number theory, Ramsey theory) - Petridis

Fall 2024

8000 Algebra - Nakano
8080 Lie Algebras - Nakano
8300 Introduction to Algebraic Geometry - Arguz 
8330 Algebraic Surfaces - Alexeev
8400 Number Theory I - Clark
8440 Topics in Number Theory (arithmetic statistics) - Jiuya Wang

Spring 2024

Math 8030 - Topics in Algebra (Graham)
Math 8310 - Geometry of Schemes (Lorenzini)
Math 8330 - Topics in Algebraic Geometry (Bousseau)
Math 8440 - Topics in Number Theory (Magyar)

Fall 2023

Math 8000 - Algebra I (Chastkofsky)
Math 8020 - Commutative Algebra I (Alexeev)
Math 8190 - Algebraic Groups (Nakano)
Math 8330 - Topics in Algebraic Geometry (Arguz)
Math 8430 - Topics in Arithmetic Geometry (Lorenzini)
Math 8440 - Topics in Analytic Number Theory (Pollack)

Spring 2023

Math 8030 - Homological Algebra (Chatterjee)
Math 8030 - Geometric Representation Theory (Rider)
Math 8330 - K3 surfaces (Engel)
Math 8410 - Algebraic Number Theory II (J. Wang)
Math 8440 - Multiplicative Number Theory (Pollack)

Fall 2022

Math 8000 - Algebra I (Rider)
Math 8080 - Lie Algebras (Boe)
Math 8300 - Introduction to Algebraic Geometry (Dillies)
Math 8330 - Moduli Spaces (Alexeev)
Math 8400 - Algebraic Number Theory I (Clark)
Math 8440 - Additive Combinatorics II (Petridis)

Spring 2022

Math 8020 - Commutative Algebra (Litt)
Math 8030 - Cohomology and Representation Theory (Nakano)
Math 8315 - Sheaves and cohomology / Derived categories (Alexeev)
Math 8440 - Additive Combinatorics (Petridis)

Fall 2021

Math 8000 - Algebra I (Rider)
Math 8030 - Flag varieties, equivariant cohomology, and K-theory (Larson)
Math 8310 - Schemes (Engel)
Math 8430 - Rational points on algebraic varieties (Litt)
Math 8440 - Analytic number theory (Magyar)

Spring 2021

Math 8030 - Homological Algebra (Boe)
Math 8030 - Quiver Representations (Wilbert)
Math 8330 - Birational geometry, Minimal model program, and Moduli (Alexeev)
Math 8330 - Algebraic surfaces and 4-manifolds (Engel)
Math 8400 - Algebraic Number Theory I (Pollack)
Math 8430 - Class Field Theory and Galois Cohomology (Clark)

Fall 2020

Math 8000 - Algebra I (Rider)
Math 8190 - Algebraic Groups (Nakano)
Math 8300 - Introduction to Algebraic Geometry (Engel)
Math 8320 - Algebraic Curves (Clark)
Math 8430 - Topics in Arithmetic Geometry: Etale Fundamental Groups and Etale Cohomology (Litt)
Math 8440 - Public Key Cryptography (Lorenzini)

Spring 2020

Math 8020 Commutative Algebra - Pete Clark
Math 8030 Representations of Semisimple Lie Algebras: Category O - Brian Boe
Math 8330 Moduli Schemes - Ben Bakker
Math 8430 Elliptic Curves II - Pete Clark
Math 8440 Additive Combinatorics- Akos Magyar
Math 8850 VRG on Tilings - Philip Engel

Fall 2019

Math 8000 Algebra - Dan Nakano
Math 8080 Lie Algebra - Chun-Ju Lai
Math 8330 Abelian Varieties - Dino Lorenzini
Math 8440 Number Theory - Akos Magyar

Spring 2019

Math 8030 Homological Algebra - Laura Rider
Math 8040 Representation Theory of Finite Groups - Leonard Chastkofsky
Math 8310 Schemes - Philip Engel
Math 8410 Algebraic Number Theory II - Pete Clark
Math 8850 VRG Arithmetic Combinatorics over Finite Fields - Giorgis Petridis

Fall 2018

Math 6450 Cryptography - Dino Lorenzini
Math 8000 Algebra - Leonard Chastkovsky
Math 8030 Quantum Groups - Chun-Ju Lai
Math 8300 Algebraic Geometry I - Valery Alexeev
Math 8330 (Counter)examples in characteristic p - Benjamin Bakker
Math 8430 Elliptic Curves - Dino Lorenzini
Math 8440 Topics in Number Theory - Paul Pollack
Math 8850 VRG Arithmetic Combinatorics over Finite Fields - Giorgis Petridis

Spring 2018

Math 6010 Modern Alg & Geom II  - Brian Boe
Math 8020 Commutative Algebra - Benjamin Bakker
Math 8030 Geometric Representation Theory - Laura Rider
Math 8315 Algebraic Geometry III: Cohomology - Valery Alexeev
Math 8440 Combinatorial Number Theory - Giorgis Petridis
Math 8850 Computational VRG - Daniel Krashen
Math 8850 VRG in Topics in Hodge Theory - Benjamin Bakker

Fall 2017

Math 6450 Cryptography - Dino Lorenzini
Math 8000 Algebra - Asilata Bapat
Math 8080 Lie Groups - Dan Nakano
Math 8310 Algebraic Curves - Anand Deopurkar
Math 8400 Number Theory I - Paul Pollack
Math 8430 Arithmetic Geometry - Dino Lorenzini
Math 8850 VRG in Topics in Hodge Theory - Benjamin Bakker

Spring 2017

Math 6010 Modern Alg & Geom II  - Angela Gibney
Math 8030 Homological Algebra - Brian Boe
Math 8310 Schemes - Pete Clark
Math 8330 Abelian varieties - Ben Bakker
Math 8430 Elliptic Curves - Abbey Bourdon
Math 8430 Field Arithmetic - Danny Krashen
Math 8850 VRG in Algebra - Daniel Nakano

Fall 2016

Math 6450 Cryptography - Dino Lorenzini 
Math 8000 Algebra - Lenny Chastkofsky
Math 8190 Algebraic Groups, with an emphasis on structure theory -  Paul Sobaje 
Math 8300 Introduction to Algebraic Geometry - Valery Alexeev
Math 8330 Moduli of curves - Angela Gibney
Math 8410 Algebraic Number Theory II - Robert Rumely
Math 8850 Computational VRG - Danny Krashen
Math 8850 VRG in Algebra - Daniel Nakano

Spring 2016

Math 6010 Modern Alg & Geom 2 - Brian Boe
Math 8020 Commutative Algebra - Pete Clark
Math 8315 Sheaves and Cohomology - Valery Alexeev
Math 8330 Conformal Blocks - Angela Gibney
Math 8400 Algebraic Number Theory I - Paul Pollack
Math 8440 Topics in Combinatorial/Analytic Number Theory - Akos Magyar
Math 8850 VRG (year long) Process of Research - Pete Clark and Paul Pollack
Math 8850 VRG (year long) Tropical Geometry - Noah Giansiracusa

Fall 2015

Math 6450 Cryptography and Computational Number Theory - Dino Lorenzini
Math 8000 Algebra I - Dan Nakano
Math 8080 Lie Algebras - Brian Boe
Math 8320 Algebraic Curves - Noah Giansiracusa
Math 8330 Toric Varieties - Valery Alexeev
Math 8330/8430 Galois Cohomology - Pete Clark and Robert Varley
Math 8440 Topics in Number Theory and Dynamics - Joseph Vandehey
Math 8850 VRG (year long) Process of Research - Pete Clark and Paul Pollack
Math 8850 VRG (year long) Tropical Geometry - Noah Giansiracusa

Spring 2015

Math 6010 Modern Alg & Geom 2 - Robert Rumely (MWF 10:10)
Math 6400 Number Theory - Joseph Vandehey (MWF 11:15)
Math 8030 Homological Algebra - Robert Varley (MWF 1:25)
Math 8030 Flag Varieties - Wiliam Graham (TR 11:00)
Math 8130 Ergodic Theory - Akos Magyar (TR 9:30)
Math 8330 Central Simple Algebras - Daniel Krashen (F 2:30-5:30)
Math 8410 Algebraic Number Theory - Pete Clark (MWF 11:15)
Math 8850 Conformal Blocks on the Moduli Space of Curves - Angela Gibney (W 1:30)
Math 8850 Computational AGANT - Valery Alexeev (T 3:30)

Fall 2014

Math 6000 Modern Alg & Geom 1 - Brian Boe (MWF 10:10) and Robert Rumely (MWF 11:15)
Math 8000 Algebra I - Leonard Chastkofsky (MWF 11:15)
Math 8190 Lie Groups - Daniel Nakano (MWF 9:05)
Math 8300 Intro to Algebraic Geometry - Valery Alexeev (TR 12:30)
Math 8330 Topics in Algebraic Geometry - Daniel Krashen (TR 11:00)
Math 8430 Topics in Arithmetic Geometry - Dino Lorenzini (TR 9:30)
Math 8440 Topics in Number Theory - Akos Magyar (MWF 1:25)
Math 8850 Conformal Blocks on the Moduli Space of Curves - Angela Gibney (W 1:30)
Math 8850 Computational AGANT - Valery Alexeev (R 2:00)