The requirements below are for students in pure mathematics, not in statistics. For students in Statistics: Qualifying Exams must be passed in Statistics, Probability, and Applied Statistics.

1. Students must pass 2 qualifying exams from the following list:

Algebra (Math 600, 601)
Analysis (Math 630, 660)
Geometry (Math 730, 740; Exam not availble to students entering in 2018 or later)
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.

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

2. Students must take four additional semesters of courses from the following list, with a grade point average of 3.3 or better for the four courses used to satisfy this requirement. 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)

Math 744 (Lie Groups)

AMSC 666, AMSC 667 (Numerical Analysis)
Math 631 (Real Analysis)
Math 670 (ODE)
Math 673, Math 674 (PDE)

The four semesters are not required to be in the same sequence of courses. For example, Math 730, Math 670, AMSC 666, and AMSC 667 would be acceptable. These four semester-long courses must be distinct from the ones supporting the qualifying exams passed in Part 1.

A student may take and pass a third (and possibly, a fourth) qualifying exam in place of taking the actual courses. For example, passing the written exams
in Algebra, Analysis, and Geometry would count as 2 exams plus 2 semesters.

One qualifying exam must be passed by January of the second year, and all requirements must be finished by January of the third year.

Students who have taken courses from the second list elsewhere may petition the graduate chair to have such courses satisfy up to two semesters of the four-semester requirement (although generally students should instead use these courses as preparation for qualifying exams).

Each course on the lists should have serious assessment methods (graded homework, projects, exams, and/or similar). There should be some significant assessment that is guaranteed to be done solely by the student (that is, an exam, not only homework).

 

Archives: 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019

  • Augmented reality in the estimation of small tail probabilitiesmall

    Speaker: Benjamin Kedem (UMD) - https://www.math.umd.edu/~bnk/

    When: Wed, September 5, 2018 - 3:15pm
    Where: Kirwan Hall 3206
  • Aziz Lecture: Smooth random functions and smooth random ODEs

    Speaker: Lloyd N. Trefethan (Oxford University)

    When: Wed, September 12, 2018 - 3:15pm
    Where: Kirwan Hall 3206
  • Dirac operators and Hecke algebras

    Speaker: Dan Ciubotaru (University of Oxford) - https://www.maths.ox.ac.uk/people/dan.ciubotaru

    When: Wed, September 19, 2018 - 3:15pm
    Where: Chemical Engineering Room 2110
  • Scholze's Fields medal

    Speaker: Michael Rapoport (UMD and University of Bonn) - http://www.math.uni-bonn.de/ag/alggeom/rapoport

    When: Wed, September 26, 2018 - 3:15pm
    Where: Kirwan Hall 3206
  • Modeling and Simulation of Asteroid-Generated Tsunamis

    Speaker: Marsha Berger (NYU) - https://cs.nyu.edu/berger/

    When: Wed, October 3, 2018 - 3:15pm
    Where: Kirwan Hall 3206
  • Topics in Markov chains

    Speaker: Alan Frieze (CMU) - https://www.math.cmu.edu/~af1p/

    When: Fri, October 5, 2018 - 11:00am
    Where: CSIC 2117
  • (Special Applied Math Colloquium, Special time): Atomistic Simulation of Crystalline Defects [A Numerical Analysis Perspective]

    Speaker: Christoph Ortner (University of Warwick) - https://warwick.ac.uk/fac/sci/maths/people/staff/christoph_ortner/

    When: Tue, October 9, 2018 - 11:00am
    Where: Kirwan Hall 3206
  • Faculty Promotion Meeting

    Speaker: Department meeting () -

    When: Wed, October 10, 2018 - 3:15pm
    Where: Kirwan Hall 3206
  • Effective stability in quasi-periodic dynamics.

    Speaker: Bassam Fayad (Universite de Paris) - https://webusers.imj-prg.fr/~bassam.fayad/

    When: Fri, October 12, 2018 - 3:15pm
    Where: Kirwan Hall 3206
  • Faculty Promotion Meeting

    Speaker: Department meeting () -

    When: Wed, October 17, 2018 - 3:15pm
    Where: Kirwan Hall 3206
  • On traffic modeling and the Braess paradox

    Speaker: Helge Holden (NTNU (Norwegian University of Science and Technology)) - https://www.ntnu.edu/employees/holden

    When: Fri, October 26, 2018 - 3:15pm
    Where: Kirwan Hall 3206
  • (Special Applied Math Colloquium, Special time): Density fitting: Analysis, algorithm and applications

    Speaker: Jianfeng Lu (Duke University) - https://services.math.duke.edu/~jianfeng/

    When: Tue, October 30, 2018 - 11:00am
    Where: Kirwan Hall 3206
  • Making mathematical videos

    Speaker: Jeff Adams (UMD ) - https://www.math.umd.edu/~jda/

    When: Wed, November 7, 2018 - 3:15pm
    Where: Kirwan Hall 3206
  • -Meeting with the Dean Amitabh Varshney

    Speaker: Department meeting () -

    When: Wed, November 14, 2018 - 3:15pm
    Where: Kirwan Hall 3206
  • Title: Quantitative stochastic homogenization of linear elliptic PDE

    Speaker: Dr. Scott ArmstrongAbstract: I will discuss the large-scale asymptotics of solutions of linear elliptic equations with random coefficients. It is well-known that solutions converge (in the limit of scale separation) to those of a deterministic equation, a kind of law of large numbers result called "homogenization". In recent years obtaining quantitative information about this convergence has attracted a lot of attention. I will give an overview of one such approach to the topic based on variational methods, elliptic regularity, and ``renormalization-group'' arguments.

    When: Wed, November 28, 2018 - 3:15pm
    Where: 3206 William E. Kirwan Hall
  • The multiplicity one conjecture on 3-manifolds

    Speaker: Otis Chodosh (Princeton University) - https://web.math.princeton.edu/~ochodosh/

    When: Wed, December 5, 2018 - 3:15pm
    Where: Kirwan Hall 3206
  • Statistical analysis and spectral methods for signal-plus-noise matrix models

    Speaker: Joshua Cape (Johns Hopkins University) -

    When: Fri, December 14, 2018 - 3:15pm
    Where: Kirwan Hall 3206
  • Spectral Methods and Nonconvex Optimization: A Modern Statistical Perspective

    Speaker: Yiqiao (Joe) Zhong (Princeton University) -

    When: Fri, January 4, 2019 - 11:00am
    Where: Kirwan Hall 3206
  • Total Variation Regularized Frechet Regression and Change-Point Modeling for Non-Euclidean Data

    Speaker: Zhenhua Lin (University of California -- Davis) -

    When: Mon, January 7, 2019 - 3:15pm
    Where: Kirwan Hall 3206
  • Analysis of Large Multi-Relational Networks

    Speaker: Xueying Tang (Columbia University) -

    When: Wed, January 9, 2019 - 3:15pm
    Where: Kirwan Hall 3206
  • Consistent Vertex Nomination

    Speaker: Vince Lyzinski (U-Mass Amherst) -

    When: Fri, January 11, 2019 - 3:15pm
    Where: Kirwan Hall 3206
  • A theoretical framework of the scaled Gaussian stochastic process for calibrating imperfect mathematical models

    Speaker: Mengyang Gu (Johns Hopkins University) -

    When: Mon, January 14, 2019 - 3:15pm
    Where: Kirwan Hall 3206
  • TBA

    Speaker: Rita Ferreira (KAUST, Saudi Arabia) - https://www.ritaferreira.pt/

    When: Fri, January 25, 2019 - 3:15pm
    Where: Kirwan Hall 3206
  • TBA

    Speaker: Chenyang Xu (MIT) - http://math.mit.edu/~cyxu/

    When: Wed, March 13, 2019 - 3:15pm
    Where: Kirwan Hall 3206
  • TBA

    Speaker: Jonathan Mattingly (Duke University) - https://math.duke.edu/people/jonathan-christopher-mattingly

    When: Wed, April 10, 2019 - 3:15pm
    Where: Kirwan Hall 3206
  • TBA (Aziz Lecture)

    Speaker: Ralf Hiptmair (ETH, Zurich) - https://www.math.ethz.ch/sam/the-institute/people/ralf-hiptmair.html

    When: Wed, May 1, 2019 - 3:15pm
    Where: Kirwan Hall 3206