Curriculum Vitae

Harm Derksen

Personal Information

Address: University of Michigan
Department of Mathematics, East Hall
530 Church Street
Ann Arbor, MI 49109-1043, USA
Phone:(734) 763 2309
Fax:(734) 764 0937
Email: hderksen@umich.edu

Education

Jan. 1997 Ph D. Mathematics, Summa Cum Laude,
University of Basel, Switzerland,
Advisor: Hanspeter Kraft.
Thesis: Constructive Invariant Theory and the Linearization Problem
May 1993 M.A., Mathematics, Cum Laude,
University of Nijmegen, the Netherlands,
Advisor: Arno van den Essen.
Thesis: Locally Finite Derivations and Algebraic Group Actions

Employment

Sept. 2004-present Associate Professor, University of Michigan, Ann Arbor, MI, USA.
Sept. 2000-Aug. 2004 Assistant Professor, University of Michigan, Ann Arbor, MI, USA.
Sept. 1998-Aug. 2000 C.L.E. Moore Instructor, Massachusetts Institute of Technology, Cambridge, MA, USA.
Oct. 1997-Aug. 1998 Research Scholar, Northeastern University, Boston, MA, USA.
Oct. 1994-Sept. 1997 Teaching Assistant, University of Basel, Switzerland.
May 1993-Sept. 1994 Teaching Assistant, University of Nijmegen, the Netherlands.

Honors and Awards

July 2004-June 2009 NSF CAREER grant, $400,000, DMS 0349019,
Invariant Theory, Algorithms and Applications.
July 2001-June 2004 NSF grant, $95,494, DMS 0102193,
Invariant Theory and Applications.
July 1999-June 2001 NSF grant, $53,931 , DMS 9970165,
Reductive Group Actions and Their Invariants
Oct. 1997-Sept. 1998 Scholarship, Swiss National Science Foundation, SFr. 17,000,
Scholarship, Freiwillige Akademische Gesellschaft, Basel, SFr. 17,000,
to visit Northeastern University.
Feb. 1994-May 1994 Scholarship, VSB Bank, the Netherlands, DFL 9,000,
to visit the University of Basel.
1993 Study Prize, University of Nijmegen, the Netherlands,
for my Master thesis.
1993 First prize, Dutch University Mathematics Competition
(one of two winners).
1988 Bronze Medal, International Mathematical Olympiad, Canberra, Australia.

Activities

Teaching Experience

University of Michigan differential equations, quiver representations, linear algebra, coding theory, problem solving seminar, theory of algorithms, algebraic geometry, probability theory, graduate algebra, plane geometry.
MIT recitations for calculus, honors calculus and differential equations.
University of Basel recitations for mathematics for teachers, analytic number theory, undergraduate seminars on Gröbner bases and on local fields.
University of Nijmegen recitation for linear algebra.
The Netherlandstrainer of Dutch participants of the International Mathematics Olympiad.

Graduate Students

Jessica Sidman(coadvisor together with Robert Lazarsfeld), Ph.D. 2002,
On the Castelnuovo-Mumford Regularity of Subspace Arrangements.
Calin ChindrisPh.D. 2005, Sumner Myers Award for best mathematics thesis at the University of Michigan,
The Cone of Effective Weights for Quivers and Horn Type Problems
Ryan Kinsercurrent student
Jiarui Feicurrent student

Undergraduate Research Students

Theodore Owen Research Experience for Undergraduates, summer 2007
Two new exceptional quivers of finite mutation type
Fernando Delgadoresearch, fall 2004
Justin Malestein Research Experiences for Undergraduates, summer 2003
Anna Maltseva Research experiences for Undergraduates, summer 2002
On sums and products of recurrence sequences.
Christopher BatteyResearch Experience for Undergraduates, summer 2002
An implementation of the Cai-Fürer-Immerman construction.

Presentations

Conferences
Mar. 2007 Quivers with potentials, MSRI, Berkeley, CA, workshop, topics in combinatorial representation theory.
Aug. 2007 A counterexample to Okounkov's log-concavity conjecture, ICRA XII, Torun, Poland.
Jan. 2007 Segmentation of multivariate mixed data via lossy coding and compression, SPIE conference on VCIP, San Jose.
Jan. 2007 A symmetric function generalization of the Tutte polynomial, Special Section on Arrangements, AMS Meeting, New Orleans, LA, USA.
Jan. 2007 Black box algebras, Special Section on Invariant Theory, AMS Meeting, New Orleans, LA, USA.
Dec. 2006 A symmetric function generalization of the Tutte polynomial, special session on Commutative Algebra and Algebraic Geometry, CMS Winter meeting, Toronto, ON, Canada.
Sept. 2006 Algorithms for invariants of algebraic groups, IMA workshop: Algorithms in Algebraic Geometry, Minneapolis, MN, USA.
May 2006 Combinatorics of Quiver Representations, Lie Days, Martina Franca, Italy.
May 2006 Hilbert Series of Subspace Arrangements Castelnuovo-Mumford regularity and related topics, Luminy, France.
Apr. 2006 Hilbert Functions of Subspace ArrangementsSpecial session on Hilbert Functions and Resolutions, AMS Meeting, San Francisco, CA, USA.
Jan. 2006 Rational Invariants for Dynamical SystemsSpecial session on Invariant Theory, AMS Meeting, San Antonio, TX, CA.
Aug. 2005 Combinatorics of Quiver Representations Seattle Summer Institute in Algebraic Geometry, Special session on Algebraic Geometry and Combinatorics, Seattle, WA, USA.
Apr. 2005 AMS Meeting, Special Session on Algebraic Geometry and Combinatorics, Santa Barabara, CA, USA.
Mar. 2005Rational invariant theory, 2nd Latin American School and Workshop on Polynomial Systems, Angra dos Reis, Brazil.
June 2004 Universal denominators for Hilbert series, Conference on Algebraic Geometry and Algebraic Groups, Aarhus, Denmark.
May 2004 Algorithms for fields and algebraic groups, Conference on Transformation Groups, workhop on the occasion of Hanspeter Kraft's 60th birthday, Basel, Switzerland.
Dec. 2003 Universal denominators of Hilbert series, International Conference on Commutative Algebra and Combinatorics, Allahabad, India.
Sept. 2003 Universal denominators of Hilbert series, Midwest Lie Theory Conference, Eau Claire, WI, USA.
June 2003 Lecture Series: Semi-Invariants for Quivers, Geometry and Combinatorics of Representations of Quivers, Oberwolfach, Germany.
Feb. 2003 Applications of quiver representations, II, MSRI, Berkeley, CA, USA.
Jan. 2003 Algorithms for algebraic groups and fields, AMS meeting, Special Session on Algebras, Actions and Algorithms, Baltimore, MD, USA.
Oct. 2002 Semi-invariants for quivers, AMS meeting, Special Session on Quivers and Their Generalizations, Northeastern University, Boston, MA, USA.
July 2002 Lecture series: Invariant theory for quivers, ICRA X, Toronto, Canada.
Apr. 2002 Lecture series:Constructive Invariant Theory, Workshop on Invariant Theory, Kingston, Canada.
Aug. 2001 Quiver representations and Littlewood-Richardson coefficients, Workshop Integrable Models, Combinatorics and Representation Theory, RIMS, Kyoto, Japan.
Mar. 2001 Semi-invariants of quiver representations, Algebraische Gruppen, Oberwolfach, Germany.
Sept. 2000 On the σ-stable decomposition, Summer School, Ilse of Thorns Center, England.
Aug. 2000 On the σ-stable decomposition of dimension vectors, ICRA IX, Beijing, China.
Nov. 1999Quiver Representations, Conference Representations des groups algébriques, CIRM, Luminy, France.
July 1999 The automorphism group of Cn is small, POLY '99, Krakow, Poland.
Feb. 1999 Constructive invariant theory, Groupes de Galois différentiels, CIRM, Luminy, France.
Oct. 1998 Constructive invariant theory, MSRI, Berkeley, CA, USA.
June 1998 Constructive invariant theory, MEGA 98, Saint Malo, France.
Mar. 1998 Constructive invariant theory, AIDA Workshop, Nunspeet, the Netherlands.
Mar. 1998 Non-linearizable holomorphic group actions, AMS Meeting, Special Session on Geometry of Affine Space, Louisville, KY, USA.
Sept. 1997 Polynomial bounds for rings of invariants, AMS Meeting, Montreal, Canada.
June 1997 The holomorphic linearlization problem, Algebra Tagen, Berne, Switzerland.
Apr. 1997 Computation of reductive group invariants, Invariants and Representations of Algebras, Essen, Germany.
Oct. 1996 The holomorphic linearization problem, Groupes Algébriques de transformations, CIRM, Luminy, France.
July 1996 Lectures: Constructive invariant theory I, II, Summer School, Monasir, Tunisia.
May 1996 Computation of reductive group invariants, Computational Invariant Theory, Dagstuhl, Germany.
June 1995 Computation of reductive group invariants, Contact Franco-Belge, Reims, France.
May 1995 Computation of reductive group invariants, Algorithms in Algebra, Texel, the Netherlands.
July 1994 Quotients of reductive group actions, Automorphisms of Affine Spaces, Curaçao, the Dutch Carribean.
Aug. 1993 Guessing a sequence, Summer School, Debrecen, Hungaria.

Universities

Feb. 2007 Generators of Invariant Rings, Valley Geometry Seminar, University of Massachusetts, Amherst.
Dec. 2007 Generators of Invariant Rings, colloquium, University of California, San Diego
Oct. 2007 Generators of Invariant Rings, colloquium, Wayne State University.
Sept. 2007 A counterexample to Okounkov's log-concavity conjecture, Texas A&M, TX.
Sept. 2007 Mutations of Quivers, colloquium, Texas A&M, TX.
Mar. 2006 Subspace Arrangements, University of Western Ontario, London, ON, Canada.
Mar. 2006 A Skolem-Mahler-Lech theorem in positive characteristic, Erwin Schrödinger Institute, Vienna, Austria.
Feb. 2004 Castelnuovo-Mumford regularity of subspace arrangements and Invariant Theory, Berkeley-Stanford joint Algebraic Geometry Seminar, Berkeley, CA, USA.
Nov. 2003 Hilbert series of invariant rings, University of Toronto, Canada.
Oct. 2003 Hilbert series of invariant rings, Northeastern University, Boston, MA, USA.
Sept. 2003 Subspace arrangements, Castelnuovo-Mumford regularity and Invariant Theory, University of Wisconsin, Madison, WI, USA.
May 20012 talks: Record breaking codes/quivers and LR-coefficients, Northeastern University, Boston, MA, USA.
Feb. 2001 Semi-invariants of quivers and Klyachko's saturation problem, Queens University, Kingston, Canada.
Jan. 2000 Semi-invariants of quivers and Klyachko's saturation problem, Rutgers University, New Brunswick, NJ, USA.
Jan. 2000 Semi-invariants of quivers and Klyachko's saturation problem, University of Michigan, Ann Arbor, MI, USA.
Nov. 1999 Semi-invariants of quivers and Klyachko's saturation problem, Yale University, New Haven, CT, USA.
Apr. 1999 Semi-invariants of quivers and Klyachko's saturation problem, Princeton University, NJ, USA.
Feb. 1999 Semi-invariants of quivers and Klyachko's saturation problem, Northeastern University, Boston, MA, USA.
Mar. 1998 Constructive invariant theory, MIT, Cambridge, MA, USA.
Feb. 1998 Computation of reductive group invariants/Polynomial bounds for rings of invariants, Florida State University, Tallahassee, FL, USA.
Oct. 1997 The holomorphic linearization problem, Brandeis University, Waltham, MA, USA.
Oct. 1997 Constructive invariant theory, University of Montreal, Canada.
Oct. 1996 Computation of reductive group invariants, University of Innsbruck, Austria.
Oct. 1996 The linearization problem, Université de Bourgogne, Dijon, France.
July 1996 Computation of reductive group invariants, Heidelberg University, Germany.
Sept. 1995 Computation of reductive group invariants, University of Nijmegen, the Netherlands.
Dec. 1993 The kernel of a derivation, Institute Henri Poincaré, Paris, France.
Oct. 1993 The kernel of a derivation/Inverse degrees and the Jacobian Conjecture, Krakow, Poland.

Publication

Books

2002 Harm Derksen, Gregor Kemper, Computational Invariant Theory, Invariant Theory and Algebraic Transformation Groups I, Encyclopaedia of Mathematical Sciences 130, Springer-Verlag, Berlin.

Published papers

2008 Harm Derksen, Gregor Kemper, Computing invariants of algebraic group actions in arbitrary characteristic , Advances in Math. 217, 2089-2129.
2007 Harm Derksen, Aidan Schofield, Jerzy Weyman, On the number of subrepresentations of a general quiver representation, J. London Math. Soc. (2) 76, no. 1, 135-147.
2007 Calin Chindris, Harm Derksen, Jerzy Weyman Counter examples to Okounkov's log-concavity conjecture, Compositio Math. 143, no. 6, 1545-1557.
2007 Harm Derksen, Christian Eggermont, Arno van den Essen, Multimagic squares, Amer. Math. Monthly 114, no. 8, 703-713.
2007 Yi Ma, Harm Derksen, Wei Hong, John Wright, On the Coding and Segmentation of multivariate mixed data, IEEE Transactions on Pattern Analysis and Machine Intelligence 29, no. 9, 1546-1562.
2007 Harm Derksen, A Skolem-Mahler-Lech theorem in positive characteristic and finite automata Invent. Math. 168, no. 1, 175-224.
2007 Harm Derksen, Yi Ma, Wei Hong, John Wright, Segmentation of multivariate mixed data via lossy coding and compression SPIE conference on Visual Communications and Image Processing (VCIP), January 2007.
2007 Shankar Rao, Harm Derksen, Robert Fossum, Yi Ma, Andrew Wagner, Allen Yang, The algebra and statistics of Generalized Principal Component Analysis SPIE conference on Visual Communications and Image Processing (VCIP), January 2007.
2007 Harm Derksen, Hilbert series of subspace arrangements, J. Pure Appl. Algebra 209, no. 1, 91-98.
2005 Harm Derksen, Jerzy Weyman, Quiver representations, Notices of the Amer. Math. Soc. 52, no. 2, 200-206.
2005 Harm Derksen, Universal denominators of Hilbert series, J. of Algebra 285, no. 2, 586--607.
2005 H. Derksen, E. Jaendel, P. Koiran, Algebraic groups and quantum automata, J. Symbolic Computat. 39, 2005, no. 3-4, 357--371.
2004 Harm Derksen, Jessica Sidman, Castelnuovo-Mumford regularity by approximation, Adv. in Math. 188, no. 1, 104-123.
2004 Harm Derksen, Degree bounds for syzygies of invariants , Adv. in Math. 185, no. 2, 207-214.
2004 Harm Derksen, Constructive invariant theory, Invariant Theory in All Characteristics 11-36, CRM Proc. Lecture Notes 35, Amer. Math. Soc., Providence, RI.
2004 Harm Derksen, Gregor Kemper, On golbal degree bounds for invariants, Invariant theory in all characteristics 11-36, CRM Proc. Lecture Notes 35, Amer. Math. Soc., Providence, RI.
2004 Harm Derksen, Error correcting codes and Bh-sequences, IEEE Trans. Inform. Theory 50, no. 3, 476-495.
2003 Harm Derksen, The Fundamental Theorem of Algebra and Linear Algebra, Amer. Math. Monthly 110 (2003), no. 7, 620-623.
2002 Harm Derksen, Jerzy Weyman, Generalized quivers associated to reductive groups, Colloq. Math. 94, no. 2.
2002 Harm Derksen, Jezy Weyman, Semi-invariants for quivers with relations, Special issue in celebration of Claudio Procesi's 60th birthday, J. Algebra 258, no. 1, 216-227.
2002 Harm Derksen, Jessica Sidman, A sharp bound for the Castelnuovo-Mumford regularity of subspace arrangements, Adv. Math. 192, no. 2, 151-157.
2002 Harm Derksen, Jerzy Weyman, On the Littlewood-Richardson polynomials, J. Algebra 255, no. 2, 247-257.
2002 Harm Derksen, Restrictions of algebraic group representations to finite subgroups, Bull. London Math. Soc. 34, no. 2, 165-173.
2002 Harm Derksen, Jerzy Weyman, On the canonical decomposition of quiver representations, Compositio Math. 133, no. 3, 245-265.
2001 Harm Derksen, Ofer Hadas, Leonid Makar-Limanov, Newton polytopes of invariants of additive group actions, J. Pure Appl. Algebra 156, no.2-3, 187-197.
2001 Harm Derksen, Polynomial bounds for rings of invariants, Proc. Amer. Math. Soc. 129, no.4, 955--963.
2000 Harm Derksen, Jerzy Weyman, Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients, J. Amer. Math. Soc. 13, no. 3, 467-479
1999 Harm Derksen, Frank Kutzschebauch, Jörg Winkelmann, Subvarieties of Cn with non-extendable automorphisms, J. Reine Angew. Math. 508, 213-235.
1999 Harm Derksen, Frank Kutzschebauch, Global holomorphic linearization of actions of compact Lie groups on Cn, Complex geometric analysis in Pohang (1997), 201-210, Contemp. Math. 222, Amer. Math. Soc., Providence, RI.
1999 Harm Derksen Computation of invariants for reductive groups, Adv. Math. 141, no. 2, 366-384.
1998 Harm Derksen, Frank Kutzschebauch, Nonlinearizable holomorphic group actions, Math. Ann. 311, no. 1, 41-53.
1997 Harm Derksen, Hanspeter Kraft, Constructive invariant theory, Algèbre non commutative, groupes quantiques et invariants (Reims, 1995), 221-244, Sémin. Congr. 2, Soc. Math. France, Paris.
1995 Harm Derksen, Quotients of algebraic group actions, Automorphisms of affine spaces (Curaçao, 1994), 191-200, Kluwer Acad. Publ., Dordrecht.
1994 Harm Derksen, Inverse degrees and the Jacobian conjecture, Comm. Algebra 22, no. 12, 4793-4794.
1993 Harm Derksen, The kernel of a derivation, J. Pure Appl. Algebra 84, no. 1, 13-16.

Accepted Papers

* Yi Ma, Allen Yang, Harm Derksen, Robert Fossum, Estimation of subspace arrangements with applications in modeling and segmenting mixed data, to appear in SIAM review.
* Harm Derksen, Jerzy Weyman, Andrei Zelevinsky, Quivers with potentials I: mutations, to appear in Selecta Mathematica.

Book Reviews

2003 Harm Derksen, on: Arno van den Essen, Polynomial Automorphisms and the Jacobian Conjecture, Niew Archief voor Wiskunde 5/4, no. 4, Dec. 2003.
2001 Harm Derksen, on: Peter Olver, Classical Invariant Theory, Bull. Amer. Math. Soc. 38, no. 3, 383-387.