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.

# Algebraic Topology

AS.110.616 (01)

Polyhedra, simplicial and singular homology theory, Lefschetz fixed-point theorem, cohomology and products, homological algebra, Künneth and universal coefficient theorems, Poincar&ecute; and Alexander duality theorems.

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:**10/15**PosTag(s):**n/a

# Algebra

AS.110.602 (01)

An introductory graduate course on fundamental topics in algebra to provide the student with the foundations for Number Theory, Algebraic Geometry, and other advanced courses. Topics include group theory, commutative algebra, Noetherian rings, local rings, modules, and rudiments of category theory, homological algebra, field theory, Galois theory, and non-commutative algebras. Recommended Course Background: AS.110.401-AS.110.402

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:**11/15**PosTag(s):**n/a

# Algebraic Geometry

AS.110.644 (01)

Affine varieties and commutative algebra. Hilbert's theorems about polynomials in several variables with their connections to geometry. General varieties and projective geometry. Dimension theory and smooth varieties. Sheaf theory and cohomology. Applications of sheaves to geometry; e.g., the Riemann-Roch Theorem. Other topics may include Jacobian varieties, resolution of singularities, geometry on surfaces, schemes, connections with complex analytic geometry and topology.

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:**8/10**PosTag(s):**n/a

# Partial Differential Equations I

AS.110.631 (01)

An introductory graduate course in partial differential equations. Classical topics include first order equations and characteristics, the Cauchy-Kowalewski theorem, Laplace’s equations, heat equation, wave equation, fundamental solutions, weak solutions, Sobolev spaces, maximum principles.

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:**13/15**PosTag(s):**n/a

# Lie Groups and Lie Algebras

AS.110.619 (01)

Lie groups and Lie algebras, classification of complex semi-simple Lie algebras, compact forms, representations and Weyl formulas, symmetric Riemannian spaces.

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:**2/15**PosTag(s):**n/a

# Complex Variables

AS.110.607 (01)

Analytic functions of one complex variable. Topics include Mittag-Leffler Theorem, Weierstrass factorization theorem, elliptic functions, Riemann-Roch theorem, Picard theorem, and Nevanlinna theory. Recommended Course Background: AS.110.311, AS.110.405

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:**8/15**PosTag(s):**n/a

# Riemannian Geometry

AS.110.646 (01)

The goal is to give a self-contained course on mean curvature flow, starting with the basic linear heat equation in Euclidean space and – hopefully – getting to topics of current research. Mean curvature flow is a geometric heat equation that shares many properties with Ricci flow, harmonic map heat flow, Yang-Mills flow and the Navier-Stokes equations. Recommended Course Background: AS.110.605 and an undergraduate course in differential geometry; AS.110.645 and AS.110.631

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:**7/15**PosTag(s):**n/a

# Number Theory

AS.110.618 (01)

Topics in advanced algebra and number theory, including local fields and adeles, Iwasawa-Tate theory of zeta-functions and connections with Hecke's treatment, semi-simple algebras over local and number fields, adele geometry.

**Credits:**0.00**Level:**Graduate**Status:**Canceled**Seats Available:**15/15**PosTag(s):**n/a

# Harmonic Analysis

AS.110.633 (01)

Fourier multipliers, oscillatory integrals, restriction theorems, Fourier integral operators, pseudodifferential operators, eigenfunctions. Undergrads need instructor's permission.

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:**7/15**PosTag(s):**n/a

# Topics in Analysis

AS.110.726 (01)

The topics covered will involve the theory of calculus of Functors applied to Geometric problems like Embedding theory. Other related areas will be covered depending on the interest of the audience.

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:**6/12**PosTag(s):**n/a

# Topics In Alg Num Theory

AS.110.733 (01)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:**7/12**PosTag(s):**n/a

# Thesis Research

AS.110.801 (01)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:****PosTag(s):**n/a

# Thesis Research

AS.110.801 (11)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:****PosTag(s):**n/a

# Seminar in Number Theory

AS.110.798 (01)

Presentations of current research papers by faculty, graduate students and invited guest speakers. For graduate students only.

**Credits:**0.00**Level:**Graduate**Status:**Canceled**Seats Available:**35/35**PosTag(s):**n/a

# Seminar in Category Theory

AS.110.794 (01)

Presentations of current research papers by faculty, graduate students and invited guest speakers. For graduate students only.

**Credits:**0.00**Level:**Graduate**Status:**Canceled**Seats Available:**25/25**PosTag(s):**n/a

# Seminar in Algebraic Geometry

AS.110.799 (01)

For graduate students only. Presentations of current research papers by faculty, graduate students and invited guest speakers.

**Credits:**0.00**Level:**Graduate**Status:**Canceled**Seats Available:**35/35**PosTag(s):**n/a

# Seminar in Analysis and Partial Differential Equations

AS.110.791 (01)

Presentations of current research papers by faculty, graduate students and invited guest speakers. For graduate students only.

**Credits:**0.00**Level:**Graduate**Status:**Canceled**Seats Available:**35/35**PosTag(s):**n/a

# Topics in Stochastic Dynamical Systems

AS.110.757 (01)

The course will present an introduction to stochastic dynamical systems and some applications in model reduction and data assimilation. The main focus will be on stability and ergodicity of stochastic dynamical systems, including stochastic differential equations driven by white and fractional noise, and their numerical approximations. We will then discuss model reduction, focusing on Mori-Zwanzig formalism and approximation of the generalized Langevin equation, and methods on the parametric inference of related stochastic systems. Data assimilation and stochastic control will also be briefly introduced.

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:**3/12**PosTag(s):**n/a

# Seminar in Complex Geometry

AS.110.790 (01)

**Credits:**0.00**Level:**Graduate**Status:**Canceled**Seats Available:**35/35**PosTag(s):**n/a

# Topics:Partial Differential Equations

AS.110.741 (01)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:**6/12**PosTag(s):**n/a

# Data Science Seminar

AS.110.795 (01)

**Credits:**0.00**Level:**Graduate**Status:**Canceled**Seats Available:**45/45**PosTag(s):**n/a

# Seminar in Topology

AS.110.793 (01)

For graduate students only. Presentations of current research papers by faculty, graduate students and invited guest speakers.

**Credits:**0.00**Level:**Graduate**Status:**Canceled**Seats Available:**35/35**PosTag(s):**n/a

# Thesis Research

AS.110.801 (05)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:****PosTag(s):**n/a

# Thesis Research

AS.110.801 (04)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:****PosTag(s):**n/a

# Thesis Research

AS.110.801 (06)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:****PosTag(s):**n/a

# Thesis Research

AS.110.801 (07)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:****PosTag(s):**n/a

# Thesis Research

AS.110.801 (09)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:****PosTag(s):**n/a

# Thesis Research

AS.110.801 (10)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:**5/5**PosTag(s):**n/a

# Thesis Research

AS.110.801 (08)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:****PosTag(s):**n/a

# Thesis Research

AS.110.801 (03)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:****PosTag(s):**n/a

# Thesis Research

AS.110.801 (02)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:****PosTag(s):**n/a

# Thesis Research

AS.110.801 (12)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:****PosTag(s):**n/a

# Thesis Research

AS.110.801 (14)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:**5/5**PosTag(s):**n/a

# Thesis Research

AS.110.801 (13)

**Credits:**0.00**Level:**Graduate**Status:**Open**Seats Available:****PosTag(s):**n/a

Course # (Section) | Title | Day/Times | Instructor | Room | PosTag(s) | Info |
---|---|---|---|---|---|---|

AS.110.616 (01) | Algebraic Topology | TTh 10:30AM - 11:45AM | Kitchloo, Nitya | Krieger 308 | ||

AS.110.602 (01) | Algebra | MW 12:00PM - 1:15PM | Shokurov, Vyacheslav | Bloomberg 276 | ||

AS.110.644 (01) | Algebraic Geometry | TTh 10:30AM - 11:45AM | Staff | Krieger 204 | ||

AS.110.631 (01) | Partial Differential Equations I | MW 12:00PM - 1:15PM | Wang, Yi | Bloomberg 178 | ||

AS.110.619 (01) | Lie Groups and Lie Algebras | TTh 9:00AM - 10:15AM | Zheng, Xudong | Krieger 204 | ||

AS.110.607 (01) | Complex Variables | TTh 10:30AM - 11:45AM | Spruck, Joel | Bloomberg 172 | ||

AS.110.646 (01) | Riemannian Geometry | MW 1:30PM - 2:45PM | Mese, Chikako | Gilman 381 | ||

AS.110.618 (01) | Number Theory | MW 12:00PM - 1:15PM | Staff | Shriver Hall 5 | ||

AS.110.633 (01) | Harmonic Analysis | TTh 10:30AM - 11:45AM | Lindblad, Hans | Shaffer 303 | ||

AS.110.726 (01) | Topics in Analysis | TTh 12:00PM - 1:15PM | Sun, Liming | Gilman 10 | ||

AS.110.733 (01) | Topics In Alg Num Theory | TTh 12:00PM - 1:15PM | Savitt, David Lawrence | Smokler Center Library | ||

AS.110.801 (01) | Thesis Research | Riehl, Emily | ||||

AS.110.801 (11) | Thesis Research | Savitt, David Lawrence | ||||

AS.110.798 (01) | Seminar in Number Theory | T 3:00PM - 4:30PM | Smithling, Brian, Specter, Joel Benjamin | Hodson 316 | ||

AS.110.794 (01) | Seminar in Category Theory | T 4:00PM - 6:30PM | Staff | Gilman 377 | ||

AS.110.799 (01) | Seminar in Algebraic Geometry | T 4:00PM - 5:20PM | Zheng, Xudong | Hodson 305 | ||

AS.110.791 (01) | Seminar in Analysis and Partial Differential Equations | M 3:00PM - 5:20PM | Bernstein, Jacob | Hodson 203 | ||

AS.110.757 (01) | Topics in Stochastic Dynamical Systems | TTh 9:00AM - 10:15AM | Lu, Fei | Garland 97 | ||

AS.110.790 (01) | Seminar in Complex Geometry | T 4:30PM - 5:45PM | Xu, Hang | Gilman 17 | ||

AS.110.741 (01) | Topics:Partial Differential Equations | MW 3:00PM - 4:15PM | Lindblad, Hans | Gilman 77 | ||

AS.110.795 (01) | Data Science Seminar | W 3:00PM - 4:00PM | Maggioni, Mauro | Shaffer 303 | ||

AS.110.793 (01) | Seminar in Topology | M 3:00PM - 5:20PM | Zakharevich, Valentin | Bloomberg 168 | ||

AS.110.801 (05) | Thesis Research | Spruck, Joel | ||||

AS.110.801 (04) | Thesis Research | Sogge, Christopher | ||||

AS.110.801 (06) | Thesis Research | Maggioni, Mauro | ||||

AS.110.801 (07) | Thesis Research | Kitchloo, Nitya | ||||

AS.110.801 (09) | Thesis Research | Smithling, Brian | ||||

AS.110.801 (10) | Thesis Research | Bernstein, Jacob | ||||

AS.110.801 (08) | Thesis Research | Shokurov, Vyacheslav | ||||

AS.110.801 (03) | Thesis Research | Lindblad, Hans | ||||

AS.110.801 (02) | Thesis Research | Consani, Caterina | ||||

AS.110.801 (12) | Thesis Research | Dodson, Benjamin | ||||

AS.110.801 (14) | Thesis Research | Wang, Yi | ||||

AS.110.801 (13) | Thesis Research | Sire, Yannick |