Graduate Students in Chronological Order
The (no longer so) current extended Family
Will Traves (1998, University of Toronto)
Differential Operators and Nakai's Conjecture
Professor and Math Department Chair, US Naval Academy, Annapolis.
Traves first job was at as an NSERC post-doc at Berkeley.
Here we are with my more recent students Robert Walker and Sarah Mayes-Tang at the MAA MathFest in DC.
Joel Rosenberg (1999, University of Michigan)
Geometry of Moduli of Cubic Surfaces,
co-advised by Joe Harris.
Rosenberg is currently a mathematical researcher at
the Institute for Defense Analysis
Center for Communications Research (IDA-CCR).
Uriel Scott (2000, University of Michigan)
Sparse Systems of Parameters for Projective Varieties
Uriel Scott is a founder of
a financial company founded in 2014 providing Bitcoin ATMs and teller locations.
After finishing his degree, Scott worked as a trader for the famous proprietary trading firm Susquehanna, then moved on to a 'quant' position at Mirant Atlanta
(formally Southern Energy), then Constellation Commodities in Baltimore, and other finance research positions throughout the country.
Sara Faridi (2000, University of Michigan)
Closure Operations on Ideals.
Faridi is now a Professor at Dalhousie University in
Halifax, after being an
Assistant Professor at George Washington University and at
the University of Ottawa.
Manuel Blickle (2001, University of Michigan)
The intersection homology D-module in finite characteristic.
Blickle's first job was a post-doctoral position at the University of Essen,
working in Esnault and Viehweg's
algebraic geometry group. He held Germany's very prestigious
Heisenberg Fellowship, and is now a professor at Mainz.
Here we are at a conference for
my own advisor Mel Hochster 's 65-th birthday, August 2008, and in January 2011 on a hike at Luminy, Marseilles France.
(2003, University of Michigan).
Multiplier ideals of determinantal ideals.
Amanda has a mathematical research position at the National Security Agency.
(2006, University of Michigan)
Jet Schemes and Truncated Wedge schemes.
Cornelia is a Professor at SUNY Potsdam, after a post-doc at the University of Kentucky.
Here we are at Mel's conference and then later with some academic siblings
at a party at my house for
Yogesh More (2008, University of Michigan)
Arc Valuations on Smooth Varieties.
Yogesh is a Professor at the college of Old Westbury, SUNY,
after first completing a post-doc at the University of Missouri.
Here we are
in my kitchen at Yogesh's graduation party, and at the milkshake party with Andrey, Tapio and Helena.
Kevin Tucker (2010, University of Michigan)
Jumping Numbers and Multiplier Ideals on Algebraic Surfaces, the winner of the SUMNER MEYERS PRIZE for our department's best 2010 thesis.
Kevin is a Professor at the University of Illinois, Chicago, after a post-doc at Princeton and and NSF fellowship at Utah, working with my former post-doc
Halloween 2008 on my front porch.
Daniel Hernandez (2011, University of Michigan)
F-purity of hypersurfaces
Associate Professor at the University of Kansas, after an
NSF post-doc at UTAH and a Dunham Jackson Assistant Professor at University of Minnesota.
Here's Daniel on Halloween in front of my house with wife and my academic sister Emily Witt, a powerful mathematician herself.
Chelsea Walton (2011, U Michigan)
On Degenerations and Deformations of Sklyanin Algebras, co-advised by Toby Stafford.
Chelsea is an Associate Professor of Rice since she moved in 2020 from UIUC, and before that after serving as the Selma Lee Bloch Brown Assistant professor at Temple University. Before that she was an NSF post-doc at UW Seattle and a Moore Instructor at MIT. She also won our department's Cornwell Prize in 2011 for the most promising mathematics student, and just recently the Andre Lichnerowicz Prize in Poisson geometry, 2019.
I think we make a pretty cool pair of witches.
Michael Von Korff (2012, U Michigan)
The F-signature and Frobenius Splitting of Toric Varieties.
Michael worked for several years an education start-up called Reasoning Mind based in Houston but recently relocated to a Boston-based ed-tech job at Curriculum Associates.
Here's Michael and my daughter Helena on a hike with us in Finland.
(2013, U Michigan)
The Asymptotic Behavior of Generic intital systems.
Sarah is now an professor of practice at Toronto, having recently moved there from Quest University in Canada.
Here we are with Michael Von Korff at his defense party.
Brooke Ullery, (2015 UMichigan)
Tautological vector bundles on the Hilbert scheme of points and the normality of secant varieties ,
Brooke started as an Assistant Professor at Emory University in 2020 after a Pierce Instructorship at Harvard.
At Brooke's Thesis Defense Party
Balin Fleming (2015 UMichigan).
Arc schemes in Logarithmic Algebraic Geometry.
Balin is a post-doc with
Kalle Karu at the University of British Columbia.
Xiaolei Zhao, (2015 U Michigan)
Topological Abel-Jacobi Mapping and Jacobi Inversion, co-advised by
Xiaolei has also studied
The MMP for deformations of Hilbert schemes of points on the projective plane.
Xioalei is now an
Associate Professor at UC Santa Barbara, after a Zelevinsky Research Instructorship at Northeastern University, working with Emanuele Macrì.
Xiaolei and me
at his thesis defense with his wife Chen.
Gilad Pagi (2018 U Michigan)
Enhanced Algorithms For F-Pure Threshold
currently employed at Google.
Here we are at
Gilad's PhD graduation ceremony.
Rankeya Datta (2018 U Michigan)
A Tale of
Valuation Rings in Prime Characteristic.
Rankeya will be starting an Assistant Professorship at the University of Missouri, after post-docs at MSU (2021-2022) and the University of Illinois, Chicago (2018-2021).
(2019 U Michigan)
Uniform Symbolic Topologies in Non-Regular Rings.
Robert was a NSF/Van Vleck Visiting Professor at University of Wisconsin, working with Dan Erman. He has since moved to Seattle as a visiting scholar at Google.
me and Robert at the MAA MathFest in DC.
Eamon Quinlan (2021 University of Michigan)
PhD Thesis: Bernstein-Sato Polynomials in Prime Characteristic.
Eamon is an NSF post-doctoral fellow at the University of Utah working with Karl Schwede and Anurag Singh.
is working on various generalizations of Hilbert-Kunz multiplicities. We also wrote a paper together on reducedness of formally unramified algebras. He is expected to defend his thesis in 2023.
is has studied multiplicities of jumping numbers for multiplier ideals, and recently moved on to thinking about continuity of the F-signature function on the ample cone of a globally F-regular variety. Swaraj will defend his thesis in 2023.
is studying the "Cartier Core" map for Frobenius split Cartier subalgebras of the full Cartier Algebra.
This generalizizes F-pure centers/uniformly F-compatible ideals.
Andres Martinez Servellon is working on perivations and other exotic things in mixed characteristic.
Olivia Strahan just started working with me and will likely do something on Hochster and Huneke's notion of quasi-length.
Havi Ellers just passed her prelim in commutative algebra.
I was also a surrogate advisor for Andrey Mishchenko, circle packer extraordinaire, who defended summer 2012 and worked for Formlabs, a 3D printing company, brielfy at Google, then Instabase, and now at Open AI. Here's me and my Buddy when he was but a youngster, back in 2008.