This is the text version of my CV (version of 2014-12-23). You can also download the PDF (version of 2014-12-23).
Contact Information
Email:
(the old math.syr.edu address is retired and should not be used, thanks)
gjleusch@syr.edu(the old math.syr.edu address is retired and should not be used, thanks)
Mailing address:
c/o Mathematics Department
215 Carnegie Hall
Syracuse University
Syracuse NY 13244
I’m in office 317G. My office telephone number is (315) 443-1500.
Positions Held
- 2014–today
- Professor at Syracuse University
- 2007–today
- Associate Professor at Syracuse University
- 2004–2007
- Assistant Professor at Syracuse University
- 2003–2004
- Postdoctoral Fellow at the University of Toronto
- 2000–2003
- Assistant Professor (and NSF Postdoctoral Fellow) at the University of Kansas
Education
- Ph.D. (2000)
- University of Nebraska-Lincoln, Mathematics
Advisor: Roger Wiegand
Dissertation: Finite Cohen-Macaulay Type - M.A. (1997)
- University of Nebraska-Lincoln, Mathematics
- B.A. (1995)
- Reed College, Portland OR, Mathematics
Advisor: V. Rao Potluri
Thesis: Profinite Groups and Galois Cohomology
Research Interests
- Commutative Algebra
- Non-commutative Algebraic Geometry
- Algebraic Geometry
- Representation Theory
Grants and Funding
- 2013-2015
- NSA Grant 110927, Theory and applications of maximal Cohen-Macaulay modules
- 2013
- General Member, MSRI (For the spring semester, visiting the Mathematical Sciences Research Institute and participating in both the year-long Program in Commutative Algebra and the semester-long Program on Noncommutative Algebraic Geometry.)
- 2010
- AMS Travel Grant to attend the ICM in Hyderabad, India
- 2009–2012
- 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.
- 2006
- AMS Travel Grant to attend the ICM in Madrid, Spain
- 2004–2006
- Young Investigator Grant, National Security Agency
- 2003
- General Member, MSRI (For the spring semester, visiting the Mathematical Sciences Research Institute and participating in the year-long Program in Commutative Algebra.)
- 2000–2003
- NSF Mathematical Sciences Research Postdoctoral Fellowship (Taken at the University of Kansas. The fellowship pays two academic years’ salary; the university pays the third.)
- 2000
- Liftoff Mathematician (Sponsored for summer research by the Clay Mathematics Institute, a non-profit organization.)
- Graduate Research Assistant Award (UNL Alumni Association award; two given in 2000. Competition is university-wide.)
- 1999–2000
- Wheeler Fellowship (UNL Graduate College fellowship)
- 1999
- Graduate Research Assistant Award (UNL College of Arts and Sciences award; two given in 1999. Competition is college-wide.)
- 1998–1999
- Maude Hammond Fling Fellowship (UNL Graduate College fellowship)
- John W. McDonald Endowment Fellowship (UNL Graduate College fellowship)
- 1998
- G.C. and W.H. Young Fellowship (UNL math departmental fellowship)
- 1997–1998
- Maude Hammond Fling Fellowship (UNL Graduate College fellowship)
- 1997
- Emeritus Faculty Fellowship (UNL math departmental fellowship)
- 1996
- Outstanding First Year Graduate Student (UNL math departmental award)
- Summer Graduate Research Assistantship (UNL math department)
Publications
Please see my papers page for the most current information on my articles and other publications.
The most recent preprint (as of December 2014) is Non-commutative desingularizations of determinantal varieties, II: Arbitrary minors (joint with Ragnar-Olaf Buchweitz and Michel Van den Bergh). Also there is my book with Roger Wiegand, Cohen-Macaulay Representations.
Selected Lectures
Some of the slides from these talks (and even some videos!) are available from my Talks page.
2014
- Non-commutative desingularizations and Cohen-Macaulay representations (four one-hour lectures), Workshop and International Conference on Representations of Algebras (ICRA 2016) in Sanya, China
- The derived category of Grassmannian varieties (20 min), AMS Special Session in Lubbock, TX (Apr)
2013
- Pieri maps and the bound Young quiver (20 min), Winter meeting of the Canadian Mathematics Society, Ottawa (Dec)
- Pieri maps and the bound Young quiver (20 min), AMS Special Session in Louisville, KY (Oct)
- Non-commutative desingularizations and maximal Cohen-Macaulay modules (series of two one-hour lectures), MSRI Workshop “Noncommutative Algebraic Geometry and Representation Theory”, Berkeley (Feb)
- What should a non-commutative desingularization be? (one hour), MSRI Workshop “Connections for Women: Noncommutative Algebraic Geometry and Representation Theory”, Berkeley (Jan)
2012
- Maximal Cohen-Macaulay modules and non-commutative desingularizations (mini-course of 4 one-hour lectures), Pan-American Advanced Studies Institute (PASI) on Commutative Algebra and Its Interactions with Algebraic Geometry, Representation Theory, and Physics in Guanajuato, Mexico (May)
- The MCM McKay Correspondence (one hour), Maurice Auslander Distinguished Lectures and International Conference in Woods Hole, MA (April)
- Non-commutative desingularizations of determinantal varieties (20 minutes), AMS Special Session in Lawrence, KS (March)
2011
- Non-commutative desingularizations of determinantal varieties (20 minutes), Winter Meeting of the Canadian Mathematical Society, Toronto, ON, Canada (Dec)
- The MCM McKay Correspondence, Northeastern University Representation Theory Seminar, Boston, MA (Nov)
- Non-commutative crepant resolutions, Northeastern University Special Colloquium, Boston, MA (Nov)
- Wild Hypersurfaces (20 minutes), AMS Special Session, Lincoln, NE (Oct)
- Wild Hypersurfaces (1 hour), Homological Methods Seminar, University of Toronto (Mar)
2010
- Wild hypersurfaces (20 minutes), AMS Special Session, Notre Dame IN (Nov)
- Wild hypersurfaces (one hour), University of Kansas Algebra Seminar
2009
- Semidualizing modules and presentations (20 minutes), AMS Special Session, Boca Raton FL (Oct)
- Non-commutative desingularization of determinantal varieties CIMPA-UNESCO-IPM School on Commutative Algebra and Applications to Combinatorics and Algebraic Geometry (June, cancelled for political reasons)
- Semidualizing modules and Gorenstein presentations (20 minutes), AMS Special Session on Local and Homological Methods in Commutative Algebra, Champaign IL (March)
2008
- Semidualizing modules and Gorenstein presentations (25 minutes), CMS Special Session on Commutative Algebra and Algebraic Geometry, Ottawa ON (December)
- What should a non-commutative desingularization be? (40 minutes), 18th annual Route 81 conference in Kingston ON (October)
- Non-commutative desingularization of determinantal varieties (60 minutes), International conference on interactions between representation theory and commutative algebra in Barcelona, Spain (September)
- What is a non-commutative desingularization? (50 minutes), departmental Colloquium, University of Nebraska–Lincoln, Lincoln NE (September)
- Non-commutative desingularization of determinantal varieties (40 minutes), the International Conference on Commutative Algebra in Yokohama, Japan (March)
2007
- Non-commutative desingularization of the generic determinant (20 minutes), AMS Special Session on Commutative Algebra, Rutgers NJ (October)
- Factoring the adjoint and modules over the generic determinant (one hour), Mathematics Colloquium at Georgia State University, Atlanta GA (March)
- Non-commutative desingularization of the generic determinant (20 minutes), Joint Meetings of the AMS/MAA etc., New Orleans LA (January)
2006
- Factoring the adjoint and modules over the generic determinant (50 minutes), Kent Regional Algebra Weekend, Kent OH (November)
- Non-commutative desingularization of the generic determinant (20 minutes), Joint Meeting of the Canadian and Mexican Mathematical Societies, Guanajuato Mexico (September)
- Noncommutative desingularization of the generic determinant (45 minutes), Workshop on computational and combinatorial commutative algebra, Fields Institute, Toronto (August)
- Coxeter-Dynkin diagrams: A, D, and E (60 minutes), 32nd Annual New York State Regional Graduate Mathematics Conference, Syracuse (April)
- Non-commutative desingularization of the generic determinant (20 minutes), AMS Special Session on Hilbert Functions and Syzygies, San Francisco CA (April)
- Non-commutative desingularization of the generic determinant, Algebraic Geometry Seminar, Queen’s University (Feb)
2005
- Cohen–Macaulay Endomorphism Rings (40 minutes), AMS Joint Special Session on Commutative Algebra and the Representation Theory of Noetherian Rings, Lincoln NE (October)
- Four lectures on local cohomology, Joint Summer Research Conference in Snowbird, UT (June)
- Factoring the adjoint and maximal Cohen-Macaulay modules over the generic determinant, AMS Special Session, Santa Barbara CA (April)
- Factoring the adjoint and maximal Cohen-Macaulay modules over the generic determinant, Mathematisches Forschungsinstitut Oberwolfach (April)
- Factoring the adjoint and modules over the generic determinant, Colloquium at the University of Nebraska-Lincoln (January)
- Factoring the adjoint and maximal Cohen-Macaulay modules over the generic determinant, AMS Special Session, Atlanta, GA (January)
2004
- Endomorphism Rings of Finite Global Dimension, CMS Special Session, Montreal QC (December)
- Factoring the Adjoint and Maximal Cohen-Macaulay Modules, Cornell University Computational & Commutative Algebra Seminar, Cornell NY (September)
- Factoring the Adjoint and Maximal Cohen-Macaulay Modules, Workshop on Commutative Algebra at the Banff International Research Station in Banff, AB (September)
- Endomorphism Rings of Finite Global Dimension, School on Commutative Algebra and its Interactions with Algebraic Geometry and Combinatorics, Trieste, Italy (May)
- Endomorphism rings of finite global dimension, AMS Special Session, Los Angeles, CA (April)
2003
- Bounded Cohen-Macaulay Type, International Conference on Commutative Algebra and Combinatorics, Allahabad, India (December)
- Bounded Cohen-Macaulay Type, Joint Summer Research Conference in Snowbird, UT (July)
- On a Conjecture of Auslander and Reiten, AMS Special Session, San Francisco CA (May)
2002
- Local rings of countable Cohen-Macaulay type, AMS Special Session, Montreal QC (May)
- The F-signature of a local ring, AMS Special Session, Ann Arbor MI (March)
2001
- Finite type: recurring examples, Regional Workshop in the Mathematical Sciences, Lincoln NE (November)
- The rational signature of a local ring of positive characteristic, KUMUNU III, Lawrence KS (September)
- A conjecture of Auslander and Reiten, AMS Special Session, Lawrence KS (March)
2000
- Quivers and finite representation type, Reed College Colloquium, Portland, OR (February)
- Quivers and finite representation type, Portland State University Colloquium, Portland, OR (February)
- Ascent of finite Cohen-Macaulay type, AMS Special Session, Washington DC (January)
1999
- Ascent of finite Cohen-Macaulay type, AMS Special Session, Salt Lake City UT (September)
- Gorenstein modules and rings of finite Cohen-Macaulay type, AMS Special Session, Denton TX (May)
- Gorenstein modules and rings of finite Cohen-Macaulay type, Joint Mathematics Meetings Special Session, San Antonio TX (January)
1998
- Gorenstein modules and rings of finite Cohen-Macaulay type, Centennial Celebration of Mathematics, University of Nebraska, Lincoln NE (May)
Professional Activities
Journals refereed:
Over 30 mathematical journals.
Ongoing
- Associate Editor, Communications in Algebra
- Associate Editor, Journal of Commutative Algebra
- Co-founder & Webmaster,
commalg.org, the website for the commutative algebra community
2013
- Organizer, with S. P. Diaz and C. Miller, 23rd Annual Route 81 Conference on Commutative Algebra and Algebraic Geometry, Syracuse NY (Oct)
2012
- Organizer, with S. Iyengar, C. Miller, and D. Zacharia, Interactions between Commutative Algebra and Representation Theory, a conference in honor of Ragnar-Olaf Buchweitz’s sixtieth birthday.
2010
- Organizer, with A. Geramita, C. Miller, and M. Stillman, AMS Special Session on Commutative Algebra and Algebraic Geometry (Route 81 proxy), Syracuse NY (Oct)
2009
- Organizer, with S. Cooper and S. Sather-Wagstaff, AMS Special Session on Commutative Algebra at the Joint Mathematics Meetings in San Francisco, CA (Jan)
- Organizer, with S. P. Diaz and C. Miller, Route 81 Conference on Algebraic Geometry and Commutative Algebra, Syracuse NY (Oct)
2007-2008
- Organizing Committee, Cafe Scientifique Syracuse
2006
- Organizer, with Ragnar-Olaf Buchweitz and Gregory G. Smith, of the Session on Commutative Algebra and Algebraic Geometry, at the Winter 2006 Meeting of the Canadian Mathematics Society, Toronto, ON, December.
2005
- Organizer, with Srikanth Iyengar, Claudia Miller, and Anurag Singh, of the Minnowbrook Workshop on Commutative Algebra and its Interactions with Related Fields, held at the Minnowbrook Adirondack Conference Center in upstate New York, August.
- Main Lecturer, with Srikanth Iyengar, Anton Leykin, Claudia Miller, Ezra Miller, and Uli Walther, at the Summer School in Commutative Algebra, Snowbird, UT, Jun.
2004
- Organizer, with Srikanth Iyengar, AMS Special Session on Homological Aspects of Commutative Algebra, Houston, TX, May.
2002
- Speaker’s Assistant, Introductory Workshop on Commutative Algebra at the beginning of the MSRI Special Year in Commutative Algebra, assisting plenary speaker Melvin Hochster (September)
2001
- Organizer, with Susan Loepp, AMS Special Session on Commutative Algebra, Williamstown MA (October)
Service to Department and College
Ongoing
- Associate Chair for Undergraduate Studies, Mathematics Department
- Social Media co-Guru, Mathematics Department
- Editor, SU Mathematics Department Newsletter The Archimedean (2013, 2014 coming soon)
2013–2014
- Colloquium Chair, Mathematics Department
- Chair of the Graduate Committee, Mathematics Department
2011–2012
- Colloquium Chair, Mathematics Department
2010–2011
- Chair of the Graduate Committee, Mathematics Department
- Colloquium Czar, Mathematics Department
2009–2010
- Graduate Committee, Mathematics Department
- Colloquium Czar, Mathematics Department
- First-Year Student Advisor, College of Arts and Sciences
2007–2008
- College of Arts and Sciences Curriculum Committee
2006–2008
- Undergraduate Committee, Mathematics Department
2005
- Departmental liaison, new Mathematics Department website design
1996–2000
- Member, Graduate Student Advisory Board
1999–2000
- Chair, Graduate Student Advisory Board
1998–2000
- Organizer, Graduate Student Seminar
Teaching
2004–today (Syracuse University)
- Elements of Modern Mathematics (for management students)
- Calculus I, II, II
- Intro to Differential Equations
- Intro to Abstract Algebra
- Linear Algebra II
- Linear Algebra with Applications
- Senior Seminar in Mathematics
- Graduate Algebra I, II
- Homological Algebra
- Combinatorial Commutative Algebra
- Commutative Algebra
- Topics in Algebra: MCM modules
2003–2004 (University of Toronto)
- Calculus! (for science majors)
2000–2002 (University of Kansas)
- Calculus I
- Elementary Statistics
- Maximal Cohen-Macaulay modules (advanced topics graduate course)
1995–2000 (University of Nebraska-Lincoln)
- Precalculus (with graphing calculators)
- Trigonometry
- Intermediate Algebra
- Calculus for Management/Social Science
- Recitation sections for Calculus I
- MathExcel workshops for Calculus I and II