Advising & Mentoring
<!------------------------------------------------------------------->
<h3>Undergraduate students advised</h3><!---------------------------->
<!------------------------------------------------------------------->
<ol reversed=true>
<li value=20><!--<a href="">-->
2022–2024
<b>Ben Goldstein</b><!--</a>-->:
Computational complexity of unfolding polyhedra<!--PRUV-->
</li>
<li value=19><!--<a href="">-->
2022–2024
<b>David Goh</b><!--</a>-->:
Spectral graph theory and computational topology<!--unofficial-->
</li>
<li value=18><!--<a href="">-->
2022–2023
<b>Jesse Zhang</b><!--</a>-->:
Toward a theory of lifetime filtration for multiparameter persistence modules
<br>
<!--<ul>
<sub> </sub>
Homological algebra of real multipersistence</ul>-->
<sub> </sub>
Geodesic complexity of convex polyhedra
</li>
<li value=17><!--<a href="">-->
2022–2023
<b>Nathan Nguyen</b><!--</a>-->:
Matroid <var>h</var>-vectors and Stanley's hypothesis<!--(PRUV)-->
</li>
<li value=16><!--<a href="">-->
2021–2022
<b>William He</b><!--</a>-->:
Computing presentations of fly wing bipersistence
</li>
<li value=15><!--<a href="">-->
2020
<b>Zizai Cui</b><!--</a>-->:
Classifying group actions on Abelian surfaces preserving symplectic structure
<!--Oxford via Undergraduate Research Support Office Remote Summer Research Grant-->
</li>
<li value=14><!--<a href="">-->
2020–2021
<b>Phoebe Klett</b><!--</a>-->:
Computing sylvan minimal resolutions of monomial ideals
</li>
<li value=13><!--<a href="">-->
2020
<b>Joey Li</b><!--</a>-->:
Indecomposable multipersistence modules and QR codes (PRUV)
</li>
<li value=12><!--<a href="">-->
2019–2021
<b>Nathan Geist</b><!--</a>-->:
Experiments in probabilistic homology
<br>
<!--<ul>
<sub> </sub>
Homological algebra of real multipersistence</ul>-->
<sub> </sub>
Homological algebra of real multipersistence
<br>
<!--<ul>
<sub> </sub>
Homological algebra of real multipersistence</ul>-->
<sub> </sub>
Global dimension of real-exponent polynomial rings (PRUV)
</li>
<li value=11><!--<a href="">-->
2018–2019
<b>Cheryl Wang</b><!--</a>-->:
Algorithms for unfolding polyhedra
</li>
<li value=10><!--<a href="">-->
2016–2019
<b>David Geng</b><!--</a>-->:
Topology and geometry of piano music and performance
</li>
<li value=9><!--<a href="">-->
2016–2018
<b>Surabhi Beriwal</b><!--</a>-->:
Computation of fruit fly wing vein topology
<ul>
Fulbright semifinalist</ul>
</li>
<li value=8><!--<a href="">-->
2014
<b>Aaron Park</b><!--</a>-->:
Geometry of lung arteries (Biomed Engineering/Math, summer research)
</li>
<li value=7><!--<a href="">-->
2013
<b>Victoria Cheng</b><!--</a>-->:
Mathematical biology
</li>
<li value=6><!--<a href="">-->
2012–2015
<b>Rowena (Jingxing) Gan</b><!--</a>-->:
Geometry of harmony in Impressionist music (PRUV)
<ul>
PhD candidate, UPenn Wharton School: Operations, Information, and Decisions</ul>
</li>
<li value=5><!--<a href="">-->
2010
<b>Ezgi Kantarcι</b><!--</a>-->:
Combinatorial Game Theory (summer research)
<ul>
PhD, USC Math</ul>
<ul>
visited from undergrad institution Bogaziçi University</ul>
</li>
<li value=4><!--<a href="">-->
2009–2011
<b>Alan Guo</b><!--</a>-->:
Lattice point methods for combinatorial games (PRUV)
<ul>
Analyst, Weiss Asset Management</ul>
<ul>
PhD, MIT CS AIL</ul>
<ul>
Duke Faculty Scholar</ul>
<ul>
Goldwater honorable mention</ul>
</li>
<li value=3><!--<a href="">-->
2008–2009
<b>Nathaniel Born</b><!--</a>-->:
Implementing a nonoverlapping unfolding algorithm (UROP)
<ul>
Associate Engineer, Natural Resource Group, LLC</ul>
<ul>
advised at Minnesota</ul>
</li>
<li value=2><!--<a href="">-->
2007–2008
<b>Matthew Coudron</b><!--</a>-->:
Visualizing flows on polyhedra
<ul>
PhD candidate, MIT CS AIL</ul>
<ul>
Goldwater Scholar</ul>
<ul>
advised at Minnesota</ul>
</li>
<li value=1><!--<a href="">-->
2003–2007
<b>David Molitor</b><!--</a>-->:
(Math and Economics major with Physics minor)
<ul>
Assistant Professor of Finance, UIUC</ul>
<ul>
Goldwater scholar</ul>
<ul>
advised at Minnesota</ul>
</li>
</ol>
<!------------------------------------------------------------------->
<h3>PhD students advised</h3><!-------------------------------------->
<!------------------------------------------------------------------->
<ol>
<li value=10><!--<a href="">-->
2019–
<b>Yupeng Li</b><!--</a>-->:
combinatorial algebraic geometry and commutative algebra
</li>
<li value=9><!--<a href="">-->
2019–
<b>Shreya Arya</b><!--</a>-->:
geometric probability, applied topology, geometry, and algebra
</li>
<li value=8><!--<a href="">-->
2015–2020
<b>Do Tran</b><!--</a>-->:
<!--geometric probability; sampling from stratified spaces-->
Sampling from stratified spaces
<ul>
Postdoc, Göttingen</ul>
</li>
<li value=7><!--<a href="">-->
2015–2020
<b>Erika Ordog</b><!--</a>-->:
<!--combinatorial commutative algebra-->
Minimal resolutions of monomial ideals
<ul>
Postoc, Texas A&M</ul>
</li>
<li value=5><!--<a href="">-->
2014–2019
<b>Dmitry Vagner</b><!--</a>-->:
Diagrammatics in categorification and compositionality
<ul>
<!--[02.19 - 07.20] Research Scientist, Imbellus [now defunct]-->
<!--[08.20 - 02.22] Software Engineer, Holmusk-->
<!--[03.22 - ]-->Research Engineer, Polygon Zero
<!-- https://polygon.technology/solutions/polygon-zero-->
</ul>
</li>
<li value=6><!--<a href="">-->
2013–2019
<b>Ashleigh Thomas</b><!--</a>-->:
Invariants and metrics for multiparameter persistent homology
<ul>
Postdoc, University of Florida / Georgia Tech</ul>
</li>
<li value=4><!--<a href="">-->
2011–2015
<b>Kangkang Wang</b><!--</a>-->:
Determinant, wall monodromy, and spherical functor
<ul>
jointly advised with Paul Aspinwall</ul>
<ul>
Software Engineer, Google</ul>
<li value=3><!--<a href="">-->
2009–2014
<b>Christopher O'Neill</b><!--</a>-->:
Monoid congruences, binomial ideals, and their decompositions
<ul>
Assistant Professor, San Diego State University</ul>
<li value=2><!--<a href="">-->
2004–2012
<b>Patrick Byrnes</b><!--</a>-->:
Structural aspects of differential posets
<ul>
advised at Minnesota</ul>
<ul>
jointly advised with Vic Reiner, UMN</ul>
<li value=1><!--<a href="">-->
2005–2015
<b>Robert Edman</b><!--</a>-->:
Diameter and coherence of monotone path graphs in low corank
<ul>
advised at Minnesota</ul>
<ul>
jointly advised with Vic Reiner, UMN</ul>
</ol>
<!------------------------------------------------------------------->
<h3>PhD students informally mentored (e.g., Visiting)</h3><!--------->
<!------------------------------------------------------------------->
<ol>
<li value=4><!--<a href="">-->
2020–
<b>Xiaojun Zheng</b><!--</a>-->
<ul>
Duke Statistical Science: statistical applications of persistent homology</ul>
<li value=3><!--<a href="">-->
2006–2008
<b>Dumitru Stamate</b><!--</a>-->
<ul>
Asistent Universitar, University of Bucharest, Romania</ul>
<ul>
2009 PhD, University of Bucharest</ul>
<ul>
Fullbright scholar at UMN</ul>
<ul>
mentored at Minnesota</ul>
<li value=2><!--<a href="">-->
2007–2008
<b>Susan Sierra</b><!--</a>-->
<ul>
Senior Lecturer at University of Edinburgh</ul>
<ul>
2008 PhD, University of Michigan</ul>
<ul>
mentored at Michigan</ul>
<li value=1><!--<a href="">-->
2007
<b>Raman Sanyal</b><!--</a>-->
<ul>
Professor, Goethe-Universität Frankfurt</ul>
<ul>
2008 PhD, TU Berlin</ul>
<ul>
mentored at Minnesota</ul>
</ol>
<!------------------------------------------------------------------->
<h3>Postdocs mentored</h3><!----------------------------------------->
<!------------------------------------------------------------------->
<ol>
<li value=19><!--<a href="">-->
2023–
<b>Ling Zhou</b><!--</a>-->
<ul>
Duke Math</ul>
<li value=18><!--<a href="">-->
2023–
<b>Ranthony Edmonds</b><!--</a>-->
<ul>
Duke Math</ul>
<li value=17><!--<a href="">-->
2020–2023
<b>Margaret Regan</b><!--</a>-->
<ul>
Duke Math</ul>
<ul>
Assistant Professor, Holy Cross</ul>
<li value=16><!--<a href="">-->
2020–2023
<b>Woojin Kim</b><!--</a>-->
<ul>
Duke Math</ul>
<ul>
Assistant Professor, KAIST, South Korea</ul>
<li value=15><!--<a href="">-->
2017–2020
<b>Greg Malen</b><!--</a>-->
<ul>
Duke Math</ul>
<ul>
Visiting Assistant Professor, Union College</ul>
<li value=14><!--<a href="">-->
2016–2017
<b>Justin Curry</b><!--</a>-->
<ul>
Duke Math</ul>
<ul>
Assistant Professor, University at Albany</ul>
<li value=13><!--<a href="">-->
2015–2017
<b>Adam Jaeger</b><!--</a>-->
<ul>
Duke Stat and SAMSI</ul>
<ul>
<!--Visiting Assistant Professor, Stat, Indiana Univ.</ul>-->
Assistant Professor, Statistics, Wichita State Univ.</ul>
<li value=12><!--<a href="">-->
2015–2016
<b>Justin Allman</b><!--</a>-->
<ul>
Duke Math</ul>
<ul>
Assistant Professor, US Naval Academy</ul>
<li value=11><!--<a href="">-->
2011–2013
<b>Christine Berkesch</b><!--</a>-->
<ul>
Duke Math</ul>
<ul>
Assistant Professor, U. Minnesota</ul>
<li value=10><!--<a href="">-->
2010–2011
<b>Anne Shiu</b><!--</a>-->
<ul>
NSF Postdoc, Duke Math</ul>
<ul>
Assistant Professor, Texas A&M</ul>
<li value=9><!--<a href="">-->
2010, Fall
<b>Manoj Gopalkrishnan</b><!--</a>-->
<ul>
visitor to Duke Math</ul>
<ul>
Associate Prof., Elec. Engin., IIT Bombay</ul>
<li value=8><!--<a href="">-->
2009–2011
<b>Sonja Mapes</b><!--</a>-->
<ul>
Duke Math</ul>
<ul>
Assistant Professor of the Practice, Notre Dame</ul>
<li value=7><!--<a href="">-->
2009–2010
<b>Megan Owen</b><!--</a>-->
<ul>
SAMSI/NCSU Math</ul>
<ul>
Assistant Professor of CS, Lehman College</ul>
<li value=6><!--<a href="">-->
2006–2009
<b>Stephen Griffeth</b><!--</a>-->
<ul>
Minnesota Math</ul>
<ul>
Associate Professor, U. Talca, Chile</ul>
<li value=5><!--<a href="">-->
2006–2009
<b>Drew Armstrong</b><!--</a>-->
<ul>
Minnesota Math</ul>
<ul>
Associate Professor, U. Miami</ul>
<li value=4><!--<a href="">-->
2006–2008
<b>Milena Hering</b><!--</a>-->
<ul>
Minnesota Math</ul>
<ul>
Lecturer, U. Edinburgh</ul>
<li value=3><!--<a href="">-->
2005–2008
<b>Alex Yong</b><!--</a>-->
<ul>
Minnesota Math</ul>
<ul>
Associate Professor, U. Illinois, Urbana-Champaign</ul>
<li value=2><!--<a href="">-->
2005–2008
<b>Calin Chindris</b><!--</a>-->
<ul>
Minnesota Math</ul>
<ul>
Associate Professor, U. Missouri</ul>
<li value=1><!--<a href="">-->
2003–2005
<b>Jeremy Martin</b><!--</a>-->
<ul>
Minnesota Math</ul>
<ul>
Professor, U. Kansas</ul>
</ol>
<!--
<li value=15>
2000–2000
<b></b>:
<ul>
</ul>
</li>
<li value=15>
2000–
<b></b>:
<ul>
</ul>
</li>
<li value=15>
2000
<b></b>:
<ul>
</ul>
</li>
-->
<hr>
Date last modified: <i>Thu Dec 21 02:42:51 EST 2023</i>
<hr>