Algebraic Topology Programs in the US

Graduate School Funding

Mathematics PhD programs in the United States are fully-funded. This means

  • The department pays your tuition and fees
  • You are paid a salary for teaching and research while there (usually around $20,000 - $25,000).

Tuition and Fees

For most PhD programs, the cost of tuition and any associated frees are paid directly by the math department to the university. At most universities, this also includes the cost of any health insurance the university offers.
For Masters programs in the US, you must pay the tuition and related fees. For this reason, it's often better to enroll in a PhD program (which will also grant you a Masters degree).

Salary / Stipend

PhD programs in the US will pay you a salary or stipend for a fixed number of years. This will be carefully spelled out in your offer letter. Depending on the University and the cost of living in an area, the amount ranges from $20,000 to $26,000 or more.

This tends to be a nine month salary (running over the academic year), with many Universities giving you additional money or opportunities to earn money during the summer.

Depending on your university and offer, you may see different kinds of descriptions and duties:

  • TA (Teaching Assistant) - you will be expected to lead a discussion section or teach your own class. This is usually 1 or 2 classes per semester, and the majority of funding comes in this form.
  • Fellowship, RA (Research Assistant), Grant - you will not be teaching during this period. Instead you will focus on your research.

Most institutions will try to give you a mixture of some semesters with teaching and then some supported by fellowships.

Outside Funding

You are welcome (and encouraged!) to find your own funding from outside of the university. This often results in decreased teaching responsibilities or a larger salary. The usual source for such grants is your country's government, though there are some private opportunities also available.

Select PhD Programs in Algebraic Topology

Here is a list of universities with active algebraic topology programs, broken down by region, together with a list of researchers in algebraic topology at those institutions. When applying to these programs, it can be helpful to list individual resaerchers you would be interested in working with by name (together with a sentence or two about why).


Harvard University -
Mike Hopkins,
Jacob Lurie
Massachusetts Institute of Technology -
Haynes Miller,
Goncalo Tabuada
University of Rochester -
Doug Ravenel
Brown University -
Tom Goodwillie

Mid-atlantic and South

University of Texas -
David Ben-Zvi,
Andrew Blumberg,
Dan Freed
University of Virginia -
Julie Bergner,
Nick Kuhn
Johns Hopkins University -
Nitu Kitchloo,
Jack Morava,
Emily Riehl,
Steve Wilson
Georgia Institute of Technology -
Kirsten Wickelgren
University of Kentucky -
Bert Guillou,
Kate Ponto,
Nat Stapleton
Vanderbilt -
Anna Marie Bohmann


University of Chicago -
Peter May
Northwestern University -
John Francis,
Paul Goerss
Indiana University -
Ayelet Lindenstrauss,
Mike Mandell
University of Minnesota -
Tyler Lawson,
Craig Westerland
Michigan State University -
Teena Gerhardt
University of Michigan -
Igor Kriz
University of Illinois, Urbana-Champaign -
Matt Ando,
Charles Rezk,
Vesna Stojanoska
University of Illinois, Chicago Circle -
Ben Antieau,
Brooke Shipley
Wayne State University -
Bob Bruner,
Po Hu,
Dan Isaksen,
John Klein
Notre Dame University -
Mark Behrens,
Andy Putman
Stefan Stoltz
Ohio State -
John Harper,
Niles Johnson,
Matthew Kahle
Sanjeevi Krishnan
Purdue University -
David Gepner,
Ralph Kaufman,
Jim McClure,
Jeremy Miller


University of California, Los Angeles -
Mike Hill
Stanford -
Soren Galatius,
Tom Church
Aravind Asok,
Eric Friedlander,
Marc Hoyois
University of Colorado, Boulder -
Agnes Beaudry
University of Oregon -
Dan Dugger,
Hal Sadofsky,
Dev Sinha
University of Washington -
John Palmieri,
Ethan Devinatz