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.