Qualifying Exam Requirements for the M.A. in Mathematics

For the M.A. degree in Mathematics, students have two options:

Option I. Write a Masters thesis and satisfy the University requirements.

Option II. (a) Receive at least an MA Pass on two PhD written exams from the following list, and write a scholarly paper (as required by the Graduate School):

Algebra (Math 600, 601)
Analysis (Math 630, 660)
Geometry (Math 730, 740)
Probability (Stat 600, 601)
Statistics (Stat 700, 701)

A student in pure mathematics can use at most one of Probability and Statistics to satisfy the exam requirement. Note that students are required to take the exams that are written at the PhD level and receive a MA Pass. No separate MA-only exams will be written.

The Geometry exam will be discontinued after January 2020. Until then, it will only be available to students admitted during 2017 or earlier.

(b) In addition to the Qualifying Exams, students using Option II must take three additional semesters of courses from the following list. Courses with grades less than B cannot be included (for example, B− is not allowed).

Math 600, 601 (Algebra)
Math 630, 660 (Analysis)
Math 730, 740 (Geometry)
Stat 600, 601 (Probability)
Stat 700, 701 (Statistics)
Math 634 (Harmonic Analysis)
Math 642 (Dynamical Systems I)
Math 712, Math 713 (Logic)
Math 734 (Algebraic Topology)
AMSC 666, AMSC 667 (Numerical Analysis)
Math 631 (Real Analysis)
Math 670 (ODE)
Math 673, Math 674 (PDE)

The three semesters are not required to be in the same sequence of courses. For example, Math 730, Math 670, and AMSC 666 would be acceptable. These three semester-long courses must be distinct from the ones supporting the qualifying exams. For example, if the Algebra Exam is used as one of the Qualifying Exams, then neither Math 600 nor Math 601 can be used for the three-course requirement.

 

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  • Recent progress on mathematical wave turbulence

    Speaker: Yu Deng (USC) https://sites.google.com/usc.edu/yudeng/

    When: Thu, September 7, 2023 - 3:30pm
    Where: Kirwan Hall MTH1311
  • Invasion: robustness and universality

    Speaker: Cole Graham (Brown University) https://colegraham.net/

    When: Thu, September 14, 2023 - 3:30pm
    Where: EGR3102
  • Formation of shocks for the Einstein-Euler system

    Speaker: John Anderson (Stanford) https://web.stanford.edu/~jrlander/

    When: Thu, September 21, 2023 - 3:30pm
    Where: MTH1311
  • Dynamics of kink clusters for scalar fields in dimension 1+1

    Speaker: Andrew Lawrie (MIT) https://math.mit.edu/~alawrie/

    When: Thu, September 28, 2023 - 3:30pm
    Where: MTH1311
  • Effects of Network Structure on Spreading of Innovations

    Speaker: Gadi Fibich http://www.math.tau.ac.il/~fibich/

    When: Thu, October 5, 2023 - 3:30pm
    Where: MTH1311
  • Convergence rates to traveling waves

    Speaker: Lenya Ryzhik  http://math.stanford.edu/~ryzhik/

    When: Thu, October 12, 2023 - 3:30pm
    Where: MTH1311
  • The nonlinear theory of sound

    Speaker: Robin Yong (UMass Amherst)

    When: Thu, October 19, 2023 - 3:30pm
    Where: MTH1311
  • Regularity of Bubbles in Porous Media

    Speaker: Neel Patel 

    When: Thu, October 26, 2023 - 3:30pm
    Where: MTH1311
  • Parabolic equations and diffusion processes with degeneration: boundary problems, metastability, and homogenization

    Speaker: Leonid Koralov (UMD)

    When: Thu, November 2, 2023 - 3:15am
    Where: MTH1311
  • To Flutter or Not: Mathematical Aeroelasticity

    Speaker: Justin Webster (UMBC) http://webster.math.umbc.edu/ 

    When: Thu, November 16, 2023 - 3:30pm
    Where: MTH1311
  • Nonlocal Boundary Value Problems with Local Boundary Conditions

    Speaker: James Scott (Columbia) https://sites.google.com/view/jamesmichaelscott/home

    When: Thu, November 30, 2023 - 3:30pm
    Where:
  • Matrix generalization of the cubic SzegÅ‘ equation

    Speaker: Ruoci Sun https://sites.google.com/view/sun-ruoci/home

    When: Thu, February 8, 2024 - 3:30pm
    Where: MTH1311
  • Nearly self-similar blowup of the slightly perturbed homogeneous Landau equation with very soft potentials

    Speaker: Jiajie Chen (Courant) https://jiajiechen94.github.io/ 

    When: Thu, February 22, 2024 - 3:30pm
    Where: MTH1311
  • One example of Residual Diffusivity

    Speaker: Gautam Iyer https://www.math.cmu.edu/~gautam/sj/index.html

    When: Thu, April 4, 2024 - 3:30pm
    Where: MTH1311
  • Global regularity for critical SQG in bounded domains

    Speaker: Peter Constantin https://web.math.princeton.edu/~const/

    When: Thu, April 18, 2024 - 3:30pm
    Where: MTH3206
  • Where does friction come from? Hamiltonian systems for classical and quantum particles

    Speaker: Thierry Goudon  (INRIA, France)

    When: Thu, May 2, 2024 - 3:30pm
    Where: MTH1311
  • Local well-posedness and smoothing of MMT kinetic wave equation

    Speaker: Joonhyn La (KIAS, Korea)

    When: Thu, May 9, 2024 - 3:30pm
    Where: MTH1311