leuschke.org

Curriculum Vitae

Graham J. Leuschke

Professor, Department of Mathematics, Syracuse University. gjleusch@syr.edu

This web version follows the PDF CV of 6 January 2025, updated through September 2026. For the typeset original, see the College of Arts & Sciences copy.

Employment

2020–2026
Chair, Department of Mathematics, Syracuse University
2014–
Professor, Syracuse University
2007–2014
Associate Professor, Syracuse University
2004–2007
Assistant Professor, Syracuse University
2003–2004
Postdoctoral Fellow, University of Toronto
2000–2003
Assistant Professor and NSF Postdoctoral Fellow, University of Kansas

Education

2000
Ph.D., University of Nebraska–Lincoln. Advisor: Roger Wiegand. Dissertation: Finite Cohen–Macaulay Type
1997
M.A., University of Nebraska–Lincoln
1995
B.A., Reed College. Advisor: V. Rao Potluri. Thesis: Galois cohomology and profinite groups

Research interests

Commutative algebra, representation theory, algebraic geometry, and noncommutative algebraic geometry.

Grants and funding

2019–2021
CUSE Grant, Syracuse University Office of Research
2019–2022
NSF Conference Grant DMS-1908497, “Annual New York State Graduate Mathematics Conference”
2018–2020
Douglas R. Anderson Faculty Scholarship, Department of Mathematics, Syracuse University
2018
NSF Conference Grant DMS-1800121, “Annual New York State Graduate Mathematics Conference”
2015–2018
NSF Grant DMS-1502107, “Non-commutative desingularizations and representation theory”
2013–2015
NSA Grant 110927, “Theory and applications of maximal Cohen-Macaulay modules”
2013
MSRI General Member, semester program in Noncommutative Algebraic Geometry
2009–2013
NSF Grant DMS-0902119, “Topics in the Representation Theory of Local Rings”
2006–2009
NSF Grant DMS-0556181, “Topics in the Representation Theory of Local Rings”
2010
AMS Travel Grant to attend the ICM in Hyderabad, India
2006
AMS Travel Grant to attend the ICM in Madrid, Spain
2004–2006
NSA Young Investigator Grant
2003
MSRI General Member, year-long program in Commutative Algebra
2000–2003
NSF Mathematical Sciences Research Postdoctoral Fellowship, University of Kansas
2000
Liftoff Mathematician, Clay Mathematics Institute

Fellowships and awards

2018
Excellence in Graduate Education Faculty Recognition Award, Syracuse University
2000
Graduate Research Assistant Award, UNL Alumni Association (two given university-wide)
1999–2000
Wheeler Fellowship, UNL Graduate College
1999
Graduate Research Assistant Award, UNL College of Arts and Sciences (two given college-wide)
1998–1999
Maude Hammond Fling Fellowship and John W. McDonald Endowment Fellowship, UNL Graduate College
1998
G. C. and W. H. Young Fellowship, UNL Department of Mathematics
1997–1998
Maude Hammond Fling Fellowship, UNL Graduate College
1997
Emeritus Faculty Fellowship, UNL Department of Mathematics
1996
Outstanding First Year Graduate Student, UNL Department of Mathematics

Books

PDFs and abstracts for everything below are on the papers page; slides and notes are on the talks page.

  1. Twenty-four hours of local cohomology. With S. B. Iyengar, A. Leykin, C. Miller, E. Miller, A. Singh, and U. Walther. Graduate Studies in Mathematics 87, American Mathematical Society, 2007. xviii+282 pp. page · AMS
  2. Cohen-Macaulay representations. With Roger Wiegand. Mathematical Surveys and Monographs 181, American Mathematical Society, 2012. xviii+367 pp. AMS
  3. Representations of algebras. Edited with F. Bleher, R. Schiffler, and D. Zacharia. Contemporary Mathematics 705, American Mathematical Society, 2018. Proceedings of ICRA 2016, Syracuse University. doi
  4. Commutative algebra — 150 years with Roger and Sylvia Wiegand. Edited with N. R. Baeth, T. H. Freitas, and V. H. Jorge Pérez. Contemporary Mathematics 773, American Mathematical Society, 2021. doi

Articles

  1. Ascent of finite Cohen-Macaulay type. With Roger Wiegand. J. Algebra 228(2):674–681, 2000. doi
  2. Mixed characteristic hypersurfaces of finite Cohen-Macaulay type. J. Pure Appl. Algebra 167(2-3):225–257, 2002. doi
  3. Gorenstein modules, finite index, and finite Cohen-Macaulay type. Comm. Algebra 30(4):2023–2035, 2002. doi
  4. Two theorems about maximal Cohen-Macaulay modules. With Craig Huneke. Math. Ann. 324(2):391–404, 2002. doi
  5. Local rings of countable Cohen-Macaulay type. With Craig Huneke. Proc. Amer. Math. Soc. 131(10):3003–3007, 2003. doi
  6. The F-signature and strong F-regularity. With Ian M. Aberbach. Math. Res. Lett. 10(1):51–56, 2003. doi
  7. On a conjecture of Auslander and Reiten. With Craig Huneke. J. Algebra 275(2):781–790, 2004. doi
  8. Appendix to “Tight closure theory and characteristic p methods,” by M. Hochster. In Trends in Commutative Algebra, MSRI Publications 51, pp. 181–210, Cambridge University Press, 2004.
  9. Hypersurfaces of bounded Cohen-Macaulay type. With Roger Wiegand. J. Pure Appl. Algebra 201(1-3):204–217, 2005. doi
  10. Local rings of bounded Cohen-Macaulay type. With Roger Wiegand. Algebr. Represent. Theory 8(2):225–238, 2005. doi
  11. Endomorphism rings of finite global dimension. Canad. J. Math. 59(2):332–342, 2007. doi
  12. Factoring the adjoint and maximal Cohen-Macaulay modules over the generic determinant. With Ragnar-Olaf Buchweitz. Amer. J. Math. 129(4):943–981, 2007. doi
  13. On the growth of the Betti sequence of the canonical module. With David A. Jorgensen. Math. Z. 256(3):647–659, 2007. doi
  14. Non-commutative desingularization of determinantal varieties I. With Ragnar-Olaf Buchweitz and Michel Van den Bergh. Invent. Math. 182(1):47–115, 2010. doi
  15. Wild hypersurfaces. With Andrew Crabbe. J. Pure Appl. Algebra 215(12):2884–2891, 2011. doi
  16. Presentations of rings with non-trivial semidualizing modules. With David A. Jorgensen and Sean Sather-Wagstaff. Collect. Math. 63(2):165–180, 2012. doi
  17. Non-commutative crepant resolutions: scenes from categorical geometry. In Progress in Commutative Algebra 1, pp. 293–361, De Gruyter, 2012. arXiv
  18. Brauer-Thrall theory for maximal Cohen-Macaulay modules. With Roger Wiegand. In Commutative Algebra: Expository Papers Dedicated to David Eisenbud, pp. 577–592, Springer, 2013.
  19. On the derived category of Grassmannians in arbitrary characteristic. With Ragnar-Olaf Buchweitz and Michel Van den Bergh. Compos. Math. 151(7):1242–1264, 2015. doi
  20. Non-commutative desingularization of determinantal varieties II: arbitrary minors. With Ragnar-Olaf Buchweitz and Michel Van den Bergh. Int. Math. Res. Not. 2016(9):2748–2812, 2015. doi
  21. Some extensions of theorems of Knörrer and Herzog-Popescu. With Alex S. Dugas. J. Algebra 571:94–120, 2021. doi
  22. Branched covers and matrix factorizations. With Tim Tribone. Bull. London Math. Soc. 55(6):2907–2927, 2023. doi

Other mathematical writing: “Noncommutative resolutions,” Emissary (MSRI newsletter), Spring 2013.

Students and postdocs

2026
Bhargavi Parthasarathy, Ph.D., Syracuse University. Homomorphisms of maximal Cohen-Macaulay modules over the cone of general elliptic curves
2026
Ben Kaufman, Ph.D., Syracuse University, co-advised with Dan Zacharia. On the extension conjecture for Koszul algebras
2025
Kaiyue He, Ph.D., Syracuse University. Betti numbers for modules over Artinian local rings
2024
Richard Bartels, Ph.D., Syracuse University. Numerical invariants of Cohen-Macaulay local and graded rings
2022
Tim Tribone, Ph.D., Syracuse University. Matrix factorizations with more than two factors
2019
Özgür Esentepe, Ph.D., University of Toronto. Annihilation of cohomology over Gorenstein rings
2018
Robert Roy, Ph.D., Syracuse University. Auslander-Reiten theory over Gorenstein rings of dimension one
2017
Joshua Stangle, Ph.D., Syracuse University. Representation theory of orders over Cohen-Macaulay rings
2016–2018
Rebecca R.G., postdoctoral scholar
2014–2016
Denise Rangel Tracy, postdoctoral scholar
2008–2010
Andrew Crabbe, postdoctoral scholar

Advising in more detail →

Selected invited lectures

Slides, notes, and a few videos are on the talks page.

2023
“Climbing the chimney: times I got a belay from UNL Math,” keynote address, University of Nebraska–Lincoln
2021
“Matrix factorizations and Knörrer periodicity,” Virtual Commutative Algebra Seminar, IIT Bombay
2019
Three lectures on noncommutative resolutions and MCM modules, summer school on Cohen-Macaulay modules in representation theory, Bad Driburg, Germany
2019
Minicourse of three lectures, “Direct-sum decompositions over local rings,” SIMCARA, São Carlos, Brazil
2019
“MCM modules over branched covers,” RRAGE workshop, Fields Institute, Toronto

Service

Editorial appointments, conference organization, AMS committee work, and departmental and university service are collected on the Service page.