Travis Mandel

University of Utah
Department of Mathematics
155 S 1400 E RM 233
Salt Lake City, UT, 84112-0090
USA

Office: JWB 112
Email: mandel@math.utah.edu
Tel: +1 801 585 9113
FAX: +1 801 581 4148

CV

About me: I am currently a postdoc at the University of Utah. I spent last year (the 2014-2015 academic year) as a postdoc at the Center for Quantum Geometry of Moduli Spaces in Aarhus, Denmark. I earned my Ph.D. in math from UT Austin in May 2014, under the supervision of Sean Keel. I received a B.S. in math and physics from Tulane University in 2008.



My Teaching Page


Research Interests

My interests include:

In other words, I am interested in the Gross-Siebert program (especially as it applies to cluster varieties) along with some new extensions and refinements of the program.

For more details, see my research statement.

Papers


From an REU I did in 2007 (not related to my current research): Periods in Partial Words: An Algorithm, with F. Blanchet-Sadri and Gautam Sisodia, Journal of Discrete Algorithms, Vol. 16, 2012, pp 113-128.

Notes from some talks I've given

Notes and videos from three lectures I gave at the KIAS scientific workshop Cluster Algebras and Log GW Invariants in GS program in 2017.
  • Descendant log GW invariants are tropical curve counts.
  • Broken lines and theta functions.
  • Theta functions and log GW invariants.

    Slides from my talk Tropical curve counting and canonical bases at the 2015 AMS Summer Institute in Algebraic Geometry.

    Notes from my talk "Gross-Hacking-Keel I" at the MIT-RTG Mirror Symmetry Workshop in 2013, explaining the main construction of the GHK paper Mirror symmetry for log Calabi-Yau surfaces I.

    Some very short introductory notes on GIT from a talk I gave at UT Austin's student geometry seminary in 2013.

    Worksheet from a talk I gave on compass and straightedge constructions for Saturday Morning Math Group (SMMG), a UT Austin program where graduate students and faculty memebers give lectures to elementary, middle, and high-school students.