Column one has the course number and section. Other columns show the course title, days offered, instructor's name, room number, if the course is cross-referenced with another program, and a option to view additional course information in a pop-up window.

Algebra I
AS.110.601 (01)

The first of a two semester algebra sequence to provide the student with the foundations for Number Theory, Algebraic Geometry, Representation Theory, and other areas. Topics include refined elements of group theory, commutative algebra, Noetherian rings, local rings, modules, and rudiments of category theory, homological algebra, field theory, Galois theory, and non-commutative algebras.

  • Credits: 4.00
  • Level: Graduate
  • Days/Times: TTh 12:00PM - 1:15PM
  • Instructor: Riehl, EMILY
  • Room: Bloomberg 274
  • Status: Open
  • Seats Available: 2/24
  • PosTag(s): n/a

Real Variables
AS.110.605 (01)

This course covers the theory of the Lebesgue theory of integration in d-dimensional Euclidean space, and offers a brief introduction to the theory of Hilbert spaces. Closely related topics in real variables, such as functions of bounded variation, the Riemann-Stieltjes integral, Fubini's theorem, Lp classes, and various results about differentiation are examined in detail. applications are basic facts about convolution operators and Fourier series, including results for the conjugate function and the Hardy-Littlewood maximal function.

  • Credits: 4.00
  • Level: Graduate
  • Days/Times: MW 12:00PM - 1:15PM
  • Instructor: Zhao, Zihui
  • Room: Gilman 134
  • Status: Open
  • Seats Available: 8/15
  • PosTag(s): n/a

Riemann Surfaces
AS.110.608 (01)

Abstract Riemann surfaces. Examples: algebraic curves, elliptic curves and functions on them. Holomorphic and meromorphic functions and differential forms, divisors and the Mittag-Leffler problem. The analytic genus. Bezout's theorem and applications. Introduction to sheaf theory, with applications to constructing linear series of meromorphic functions. Serre duality, the existence of meromorphic functions on Riemann surfaces, the equality of the topological and analytic genera, the equivalence of algebraic curves and compact Riemann surfaces, the Riemann-Roch theorem. Period matrices and the Abel-Jacobi mapping, Jacobi inversion, the Torelli theorem. Uniformization (time permitting).

  • Credits: 4.00
  • Level: Graduate
  • Days/Times: MW 12:00PM - 1:15PM
  • Instructor: Mese, CHIKAKO
  • Room: Gilman 10
  • Status: Open
  • Seats Available: 2/10
  • PosTag(s): n/a

Algebraic Topology I
AS.110.615 (01)

Singular homology theory, cohomology and products, category theory and homological algebra, Künneth and universal coefficient theorems, Poincaré and Alexander duality theorems, Lefschetz fixed-point theorem, covering spaces and fundamental groups. Prerequsites: the equivalent of one semester in both Abstract Algebra and Real Analysis (specifically, point set topology).

  • Credits: 4.00
  • Level: Graduate
  • Days/Times: MW 1:30PM - 2:45PM
  • Instructor: Campion, Tim Francis
  • Room: Bloomberg 172
  • Status: Open
  • Seats Available: 4/15
  • PosTag(s): n/a

Number Theory I
AS.110.617 (01)

Elements of advanced algebra and number theory. Possible topics for the year-long sequence include local and global fields, Galois cohomology, semisimple algebras, class field theory, elliptic curves, modular and automorphic forms, integral representations of L-functions, adelic geometry and function fields, fundamental notions in arithmetic geometry (including Arakelov and diophantine geometry).

  • Credits: 4.00
  • Level: Graduate
  • Days/Times: TTh 9:00AM - 10:15AM
  • Instructor: Li, Huajie
  • Room: Hodson 315
  • Status: Open
  • Seats Available: 10/15
  • PosTag(s): n/a

Partial Differential Equations I
AS.110.631 (01)

This course is the first in the sequence about the general theory of PDEs. The beginning of the course will describe several important results of functional analysis which are instrumental for the study of PDEs: Hahn-Banach theorem, Uniform boundedness and closed graph theorems, reflexive spaces and weak topologies. The topics covered include: theory of Sobolev spaces. Harmonic functions and their properties. Weyl theorem. General Elliptic operators. Existence theory for elliptic boundary value problems. Lax-Milgram theorem. Dirichlet principle. Fine properties of solutions of elliptic equations such as maximum principles, Harnack principles, Sobolev and H\"older regularity.

  • Credits: 4.00
  • Level: Graduate
  • Days/Times: MW 1:30PM - 2:45PM
  • Instructor: Duncan, Jonah Alexander Jacob
  • Room: Gilman 10
  • Status: Open
  • Seats Available: 3/12
  • PosTag(s): n/a

Functional Analysis
AS.110.637 (01)

This class will explore basic aspects of functional analysis, focusing mostly on normed vector spaces. This will include the Hahn-Banach and open mapping theorems, a discussion of strong and weak topologies, the theory of compact operators, and spaces of integrable functions and Sobolev spaces, with applications to the study of some partial differential equations. Prerequisite: Real Analysis

  • Credits: 4.00
  • Level: Graduate
  • Days/Times: MW 12:00PM - 1:15PM
  • Instructor: Sire, Yannick
  • Room: Bloomberg 178
  • Status: Open
  • Seats Available: 7/15
  • PosTag(s): n/a

Algebraic Geometry I
AS.110.643 (01)

Introduction to affine varieties and projective varieties. Hilbert's theorems about polynomials in several variables with their connections to geometry. Abstract algebraic varieties and projective geometry. Dimension of varieties and smooth varieties. Sheaf theory and some notions of cohomology. Applications of sheaves to geometry; e.g., theory of divisors, rudiments of scheme theory for the understanding of the Riemann-Roch theorem for curves and surfaces. Other topics may include Jacobian varieties, resolution of singularities, birational geometry on surfaces, schemes, connections with complex analytic geometry and topology. 

  • Credits: 4.00
  • Level: Graduate
  • Days/Times: TTh 12:00PM - 1:15PM
  • Instructor: Meng, Fanjun
  • Room: Wyman Park N105
  • Status: Open
  • Seats Available: 1/10
  • PosTag(s): n/a

Riemannian Geometry I
AS.110.645 (01)

This course is a graduate-level introduction to foundational material in Riemannian Geometry. Riemannian manifolds, a smooth manifold equipped with a Riemannian metric. Topics include connections, geodesics, Jacobi fields, submanifold theory including the second fundamental form and Gauss equations, manifolds of constant curvature, comparison theorems, Morse index theorem, Hadamard theorem and Bonnet-Myers theorem.

  • Credits: 4.00
  • Level: Graduate
  • Days/Times: TTh 10:30AM - 11:45AM
  • Instructor: Bernstein, Jacob
  • Room: Krieger 170
  • Status: Open
  • Seats Available: 10/25
  • PosTag(s): n/a

Topics in Algebraic Topology
AS.110.727 (01)

The class will be specifically focused on topics related to -theory, and its connections to number theory and manifold theory.

  • Credits: 3.00
  • Level: Graduate
  • Days/Times: TTh 10:30AM - 11:45AM
  • Instructor: Khovanov, Mikhail
  • Room: Maryland 114
  • Status: Open
  • Seats Available: 4/15
  • PosTag(s): n/a

Topics In Alg Num Theory
AS.110.733 (01)

Topics covered will vary from year to year and are at the discretion of the instructor.

  • Credits: 3.00
  • Level: Graduate
  • Days/Times: TTh 4:30PM - 5:45PM
  • Instructor: Savitt, David Lawrence
  • Room: Krieger 309
  • Status: Open
  • Seats Available: 2/10
  • PosTag(s): n/a

Topics in Algebraic Geometry
AS.110.737 (01)

Topics covered will vary from year to year and are at the discretion of the instructor.

  • Credits: 3.00
  • Level: Graduate
  • Days/Times: MW 1:30PM - 2:45PM
  • Instructor: Meng, Fanjun
  • Room: Krieger 204
  • Status: Open
  • Seats Available: 7/10
  • PosTag(s): n/a

Topics in Data Science
AS.110.773 (01)

Topics covered will vary from year to year and are at the discretion of the instructor.

  • Credits: 3.00
  • Level: Graduate
  • Days/Times: TTh 10:30AM - 11:45AM
  • Instructor: Lu, Fei
  • Room: Maryland 202
  • Status: Open
  • Seats Available: 4/10
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (01)

This is an independent study course for students interested in a working with a professor on a specific topic.

  • Credits: 3.00 - 9.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Riehl, EMILY
  • Room:  
  • Status: Open
  • Seats Available: 2/5
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (02)

This is an independent study course for students interested in a working with a professor on a specific topic.

  • Credits: 3.00 - 9.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Bernstein, Jacob
  • Room:  
  • Status: Open
  • Seats Available: 4/5
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (03)

This is an independent study course for students interested in a working with a professor on a specific topic.

  • Credits: 3.00 - 9.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Kitchloo, Nitya
  • Room:  
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (04)

This is an independent study course for students interested in a working with a professor on a specific topic.

  • Credits: 3.00 - 9.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Sogge, Chris
  • Room:  
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (05)

This is an independent study course for students interested in a working with a professor on a specific topic.

  • Credits: 3.00 - 9.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Gepner, David James
  • Room:  
  • Status: Open
  • Seats Available: 3/5
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (06)

This is an independent study course for students interested in a working with a professor on a specific topic.

  • Credits: 3.00 - 9.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Sire, Yannick
  • Room:  
  • Status: Open
  • Seats Available: 4/5
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (07)

This is an independent study course for students interested in a working with a professor on a specific topic.

  • Credits: 3.00 - 9.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Lu, Fei
  • Room:  
  • Status: Open
  • Seats Available: 4/5
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (08)

This is an independent study course for students interested in a working with a professor on a specific topic.

  • Credits: 3.00 - 9.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Savitt, David Lawrence
  • Room:  
  • Status: Open
  • Seats Available: 3/5
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (09)

This is an independent study course for students interested in a working with a professor on a specific topic.

  • Credits: 3.00 - 9.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Mese, CHIKAKO
  • Room:  
  • Status: Open
  • Seats Available: 4/5
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (10)

This is an independent study course for students interested in a working with a professor on a specific topic.

  • Credits: 3.00 - 9.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Wang, Yi
  • Room:  
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (11)

This is an independent study course for students interested in a working with a professor on a specific topic.

  • Credits: 3.00 - 9.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Consani, Caterina (Katia)
  • Room:  
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (12)

This is an independent study course for students interested in a working with a professor on a specific topic.

  • Credits: 3.00 - 9.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Lindblad, Hans
  • Room:  
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (13)

This is an independent study course for students interested in a working with a professor on a specific topic.

  • Credits: 3.00 - 9.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Sakellaridis, Yiannis
  • Room:  
  • Status: Open
  • Seats Available: 4/5
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (14)

This is an independent study course for students interested in a working with a professor on a specific topic.

  • Credits: 3.00 - 9.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Dodson, Benjamin
  • Room:  
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (15)

This is an independent study course for students interested in a working with a professor on a specific topic.

  • Credits: 3.00 - 9.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Shokurov, Vyacheslav
  • Room:  
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (01)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Riehl, EMILY
  • Room:  
  • Status: Open
  • Seats Available: 25/25
  • PosTag(s): n/a

Thesis Research
AS.110.801 (02)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Consani, Caterina (Katia)
  • Room:  
  • Status: Open
  • Seats Available: 23/25
  • PosTag(s): n/a

Thesis Research
AS.110.801 (03)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Lindblad, Hans
  • Room:  
  • Status: Open
  • Seats Available: 24/25
  • PosTag(s): n/a

Thesis Research
AS.110.801 (04)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Sogge, Chris
  • Room:  
  • Status: Open
  • Seats Available: 22/25
  • PosTag(s): n/a

Thesis Research
AS.110.801 (05)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Sakellaridis, Yiannis
  • Room:  
  • Status: Open
  • Seats Available: 24/25
  • PosTag(s): n/a

Thesis Research
AS.110.801 (06)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Maggioni, Mauro
  • Room:  
  • Status: Open
  • Seats Available: 25/25
  • PosTag(s): n/a

Thesis Research
AS.110.801 (07)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Kitchloo, Nitya
  • Room:  
  • Status: Open
  • Seats Available: 24/25
  • PosTag(s): n/a

Thesis Research
AS.110.801 (08)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Shokurov, Vyacheslav
  • Room:  
  • Status: Open
  • Seats Available: 24/25
  • PosTag(s): n/a

Thesis Research
AS.110.801 (09)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Wang, Yi
  • Room:  
  • Status: Open
  • Seats Available: 10/10
  • PosTag(s): n/a

Thesis Research
AS.110.801 (10)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Bernstein, Jacob
  • Room:  
  • Status: Open
  • Seats Available: 3/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (11)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Savitt, David Lawrence
  • Room:  
  • Status: Open
  • Seats Available: 4/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (12)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Dodson, Benjamin
  • Room:  
  • Status: Open
  • Seats Available: 4/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (13)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Sire, Yannick
  • Room:  
  • Status: Open
  • Seats Available: 3/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (14)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Gepner, David James
  • Room:  
  • Status: Open
  • Seats Available: 1/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (15)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Lu, Fei
  • Room:  
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (16)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Han, Jingjun
  • Room:  
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (17)

This is an independent study course for students working with their advisor toward the completion of their thesis.

  • Credits: 10.00 - 20.00
  • Level: Graduate Independent Academic Work
  • Days/Times:
  • Instructor: Mese, CHIKAKO
  • Room:  
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Course # (Section) Title Day/Times Instructor Room PosTag(s) Info
AS.110.601 (01)Algebra ITTh 12:00PM - 1:15PMRiehl, EMILYBloomberg 274
AS.110.605 (01)Real VariablesMW 12:00PM - 1:15PMZhao, ZihuiGilman 134
AS.110.608 (01)Riemann SurfacesMW 12:00PM - 1:15PMMese, CHIKAKOGilman 10
AS.110.615 (01)Algebraic Topology IMW 1:30PM - 2:45PMCampion, Tim FrancisBloomberg 172
AS.110.617 (01)Number Theory ITTh 9:00AM - 10:15AMLi, HuajieHodson 315
AS.110.631 (01)Partial Differential Equations IMW 1:30PM - 2:45PMDuncan, Jonah Alexander JacobGilman 10
AS.110.637 (01)Functional AnalysisMW 12:00PM - 1:15PMSire, YannickBloomberg 178
AS.110.643 (01)Algebraic Geometry ITTh 12:00PM - 1:15PMMeng, FanjunWyman Park N105
AS.110.645 (01)Riemannian Geometry ITTh 10:30AM - 11:45AMBernstein, JacobKrieger 170
AS.110.727 (01)Topics in Algebraic TopologyTTh 10:30AM - 11:45AMKhovanov, MikhailMaryland 114
AS.110.733 (01)Topics In Alg Num TheoryTTh 4:30PM - 5:45PMSavitt, David LawrenceKrieger 309
AS.110.737 (01)Topics in Algebraic GeometryMW 1:30PM - 2:45PMMeng, FanjunKrieger 204
AS.110.773 (01)Topics in Data ScienceTTh 10:30AM - 11:45AMLu, FeiMaryland 202
AS.110.800 (01)Independent Study-GraduatesRiehl, EMILY 
AS.110.800 (02)Independent Study-GraduatesBernstein, Jacob 
AS.110.800 (03)Independent Study-GraduatesKitchloo, Nitya 
AS.110.800 (04)Independent Study-GraduatesSogge, Chris 
AS.110.800 (05)Independent Study-GraduatesGepner, David James 
AS.110.800 (06)Independent Study-GraduatesSire, Yannick 
AS.110.800 (07)Independent Study-GraduatesLu, Fei 
AS.110.800 (08)Independent Study-GraduatesSavitt, David Lawrence 
AS.110.800 (09)Independent Study-GraduatesMese, CHIKAKO 
AS.110.800 (10)Independent Study-GraduatesWang, Yi 
AS.110.800 (11)Independent Study-GraduatesConsani, Caterina (Katia) 
AS.110.800 (12)Independent Study-GraduatesLindblad, Hans 
AS.110.800 (13)Independent Study-GraduatesSakellaridis, Yiannis 
AS.110.800 (14)Independent Study-GraduatesDodson, Benjamin 
AS.110.800 (15)Independent Study-GraduatesShokurov, Vyacheslav 
AS.110.801 (01)Thesis ResearchRiehl, EMILY 
AS.110.801 (02)Thesis ResearchConsani, Caterina (Katia) 
AS.110.801 (03)Thesis ResearchLindblad, Hans 
AS.110.801 (04)Thesis ResearchSogge, Chris 
AS.110.801 (05)Thesis ResearchSakellaridis, Yiannis 
AS.110.801 (06)Thesis ResearchMaggioni, Mauro 
AS.110.801 (07)Thesis ResearchKitchloo, Nitya 
AS.110.801 (08)Thesis ResearchShokurov, Vyacheslav 
AS.110.801 (09)Thesis ResearchWang, Yi 
AS.110.801 (10)Thesis ResearchBernstein, Jacob 
AS.110.801 (11)Thesis ResearchSavitt, David Lawrence 
AS.110.801 (12)Thesis ResearchDodson, Benjamin 
AS.110.801 (13)Thesis ResearchSire, Yannick 
AS.110.801 (14)Thesis ResearchGepner, David James 
AS.110.801 (15)Thesis ResearchLu, Fei 
AS.110.801 (16)Thesis ResearchHan, Jingjun 
AS.110.801 (17)Thesis ResearchMese, CHIKAKO