Graduate Courses

To see a complete list of courses offered and their descriptions, visit the academic catalog.

For current course schedule information and registration visit SIS or consult the table below.

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
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
  • Days/Times: MW 10:00AM - 11:15AM
  • Instructor: Riehl, Emily (EMILY)
  • Room:    
  • Status: Open
  • Seats Available: 11/15
  • 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
  • Days/Times: TTh 10:30AM - 11:45AM
  • Instructor: Zhou, Yifu
  • Room:    
  • Status: Open
  • Seats Available: 10/15
  • PosTag(s): n/a

Algebraic Topology II
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
  • Days/Times: MW 1:30PM - 2:45PM
  • Instructor: Gepner, David James (David)
  • Room:    
  • Status: Open
  • Seats Available: 9/15
  • PosTag(s): n/a

Number Theory II
AS.110.618 (01)

Topics in 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: 0.00
  • Level: Graduate
  • Days/Times: TTh 3:00PM - 4:15PM
  • Instructor: Iyengar, Ashwin
  • Room:    
  • Status: Open
  • Seats Available: 12/15
  • PosTag(s): n/a

Partial Differential Equations II
AS.110.632 (01)

An introductory graduate course in partial differential equations. Classical topics include first order equations and characteristics, the Cauchy-Kowalevski theorem, Laplace's equation, heat equation, wave equation, fundamental solutions, weak solutions, Sobolev spaces, maximum principles. The second term focuses on special topics such as second order elliptic theory.

  • Credits: 0.00
  • Level: Graduate
  • Days/Times: TTh 12:00PM - 1:15PM
  • Instructor: Zhou, Yifu
  • Room:    
  • Status: Open
  • Seats Available: 9/12
  • 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
  • Days/Times: TTh 1:30PM - 2:45PM
  • Instructor: Dodson, Benjamin
  • Room:    
  • Status: Open
  • Seats Available: 11/15
  • PosTag(s): n/a

Algebraic Geometry II
AS.110.644 (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: 0.00
  • Level: Graduate
  • Days/Times: TTh 10:30AM - 11:45AM
  • Instructor: Shokurov, Vyacheslav
  • Room:    
  • Status: Open
  • Seats Available: 13/15
  • PosTag(s): n/a

Riemannian Geometry II
AS.110.646 (01)

The goal of the course is to provide basic notions on the theory of smooth manifolds: Tangent and cotangent bundles, submanifold theory, Lie group actions, Tensor analysis, Differential forms and De Rham cohomology, Integration theory, Hodge theory and Bochner technique. Recommended Course Background: AS.110.645.

  • Credits: 0.00
  • Level: Graduate
  • Days/Times: MW 12:00PM - 1:15PM
  • Instructor: Bernstein, Jacob
  • Room:    
  • Status: Open
  • Seats Available: 12/15
  • PosTag(s): n/a

Topics In Alg Num Theory
AS.110.733 (01)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times: TTh 4:30PM - 5:45PM
  • Instructor: Savitt, David Lawrence
  • Room:    
  • Status: Open
  • Seats Available: 10/12
  • PosTag(s): n/a

Topics in Partial Differential Equations
AS.110.741 (01)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times: MW 1:30PM - 2:45PM
  • Instructor: Lindblad, Hans (Hans)
  • Room:    
  • Status: Open
  • Seats Available: 7/12
  • PosTag(s): n/a

Mathematics GTA Teaching Seminar
AS.110.771 (01)

he goals of this seminar center on the preparedness for graduate students in mathematics to engage in classroom instructions for undergraduates at Johns Hopkins University. This seminar augments the teaching orientation provided to graduate students by the CER and Mathematics Department by addressing (1) teaching-techniques: student-centered inclusive teaching strategies, facilitating small group work, incorporating student ideas and student thinking into active hole class discussions, and choosing appropriate mathematical tasks, (2) opportunities for practice teaching in classrooms before their first assignment to TA for a course in scaffolded micro-teaching experiences and (3) preparing for the practice of and documentation of a reflective teaching practice necessary for success in their careers as mathematicians and educators.

  • Credits: 0.00
  • Level: Graduate
  • Days/Times: TTh 9:00AM - 10:15AM
  • Instructor: Braley, Emily (Emily)
  • Room:    
  • Status: Open
  • Seats Available: 15/16
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (01)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Maggioni, Mauro
  • Room:    
  • Status: Approval Required
  • Seats Available: 3/3
  • PosTag(s): n/a

Independent Study-Graduates
AS.110.800 (02)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Riehl, Emily (EMILY)
  • Room:    
  • Status: Approval Required
  • Seats Available: 5/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (01)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Riehl, Emily (EMILY)
  • Room:    
  • Status: Open
  • Seats Available: 4/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (02)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Consani, Caterina (Katia)
  • Room:    
  • Status: Open
  • Seats Available: 4/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (03)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Lindblad, Hans (Hans)
  • Room:    
  • Status: Open
  • Seats Available: 3/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (04)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Sogge, Christopher (Chris)
  • Room:    
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (05)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Sakellaridis, Ioannis (Yiannis)
  • Room:    
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (06)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Maggioni, Mauro
  • Room:    
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (07)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Kitchloo, Nitya
  • Room:    
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (08)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Shokurov, Vyacheslav
  • Room:    
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (09)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Wang, Yi
  • Room:    
  • Status: Open
  • Seats Available: 4/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (10)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Bernstein, Jacob
  • Room:    
  • Status: Open
  • Seats Available: 4/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (11)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Savitt, David Lawrence
  • Room:    
  • Status: Open
  • Seats Available: 4/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (12)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Dodson, Benjamin
  • Room:    
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (13)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Sire, Yannick
  • Room:    
  • Status: Open
  • Seats Available: 3/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (14)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Wang, Yi
  • Room:    
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (15)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Lu, Fei
  • Room:    
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (16)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Han, Jingjun
  • Room:    
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Thesis Research
AS.110.801 (17)

  • Credits: 0.00
  • Level: Graduate
  • Days/Times:
  • Instructor: Mese, Chikako (CHIKAKO)
  • Room:    
  • Status: Open
  • Seats Available: 5/5
  • PosTag(s): n/a

Course # (Section) Title Day/Times Instructor Room PosTag(s) Info
AS.110.602 (01)AlgebraMW 10:00AM - 11:15AMRiehl, Emily (EMILY) 
AS.110.607 (01)Complex VariablesTTh 10:30AM - 11:45AMZhou, Yifu 
AS.110.616 (01)Algebraic Topology IIMW 1:30PM - 2:45PMGepner, David James (David) 
AS.110.618 (01)Number Theory IITTh 3:00PM - 4:15PMIyengar, Ashwin 
AS.110.632 (01)Partial Differential Equations IITTh 12:00PM - 1:15PMZhou, Yifu 
AS.110.633 (01)Harmonic AnalysisTTh 1:30PM - 2:45PMDodson, Benjamin 
AS.110.644 (01)Algebraic Geometry IITTh 10:30AM - 11:45AMShokurov, Vyacheslav 
AS.110.646 (01)Riemannian Geometry IIMW 12:00PM - 1:15PMBernstein, Jacob 
AS.110.733 (01)Topics In Alg Num TheoryTTh 4:30PM - 5:45PMSavitt, David Lawrence 
AS.110.741 (01)Topics in Partial Differential EquationsMW 1:30PM - 2:45PMLindblad, Hans (Hans) 
AS.110.771 (01)Mathematics GTA Teaching SeminarTTh 9:00AM - 10:15AMBraley, Emily (Emily) 
AS.110.800 (01)Independent Study-GraduatesMaggioni, Mauro 
AS.110.800 (02)Independent Study-GraduatesRiehl, Emily (EMILY) 
AS.110.801 (01)Thesis ResearchRiehl, Emily (EMILY) 
AS.110.801 (02)Thesis ResearchConsani, Caterina (Katia) 
AS.110.801 (03)Thesis ResearchLindblad, Hans (Hans) 
AS.110.801 (04)Thesis ResearchSogge, Christopher (Chris) 
AS.110.801 (05)Thesis ResearchSakellaridis, Ioannis (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 ResearchWang, Yi 
AS.110.801 (15)Thesis ResearchLu, Fei 
AS.110.801 (16)Thesis ResearchHan, Jingjun 
AS.110.801 (17)Thesis ResearchMese, Chikako (CHIKAKO)