leuschke.org

About/Vita

version of 22 June 2009

This is the text version of my CV. You can also download the PDF (version of 11 December 08).

Jump to: Contact Information | Positions Held | Education | Research Interests | Honors and Funding | Publications | Selected Lectures | Professional Activities | Service to Department/College | Teaching

Contact Information

Email: gjleusch@math.syr.edu

My mailing address is

c/o Mathematics Department
215 Carnegie Hall
Syracuse University
Syracuse NY 13244.

My office telephone number is (315) 443–1469.

Positions Held

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
  • Algebraic Geometry
  • Representation Theory

Honors and Funding

2006—2009

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

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 (as of June 2009) is Presentations of Rings with Non-trivial Self-orthogonal Modules.

Selected Lectures

Some of the slides from these talks are available from my Talks page.

2009

Semidualizing modules and Gorenstein presentations (2 minutes), AMS Special Session on Local and Homological Methods in Commutative Algebra, Champaign IL (March)
Non-commutative desingularizations of determinantal varieties (3 one-hour seminar talks), Syracuse University (Jan—Feb)

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

Ongoing

Associate Editor, Journal of Commutative Algebra.
Co-founder & Webmaster, http://www.commalg.org, the website for the commutative algebra community

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)

Journals refereed: Acta Mathematica Sinica, Advances in Mathematics, American Journal of Mathematics, Communications in Algebra, Geometriae Dedicatae, Illinois Journal of Mathematics, Journal of Algebra, Mathematica Scandinavica, Mathematical Research Letters, Mathematische Zeitschrift, Nagoya Mathematical Journal, Pacific Journal of Mathematics, Proceedings of the American Mathematical Society, Rocky Mountain Journal of Mathematics, Transformation Groups

Service to Department and College

2009—2010

  • Mathematics Department Graduate Committee

2007—2008

  • College of Arts and Sciences Curriculum Committee

2006—2008

  • Mathematics Department Undergraduate Committee

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
  • Calculus II
  • Calculus III
  • Intro to Differential Equations
  • Linear Algebra II
  • Linear Algebra with Applications
  • Graduate Algebra I
  • Graduate Algebra II
  • Homological Algebra
  • Combinatorial Commutative Algebra

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
  • Led recitation sections for Calculus I
  • Led MathExcel workshop for Calculus I and II