Short C.V. for Ken Dykema
Biographical Information
- Address
- Department of Mathematics
Texas A&M University
College Station, Texas 77843-3368.
Tel: (979) 845-7138
Ken.Dykema 'at' math 'd-o-t' tamu 'dot' edu
- Education
- Ph.D. Universtiy of California, Berkeley, 1993; Dan Voiculescu, advisor.
- B.A. (first class honors) Mathematics, Oxford University, 1987.
- B.S. (summa cum laude) Mathematics & Chemistry, University of Wisconsin - Eau Claire, 1985.
- Position
- Professor of Mathematics, Texas A&M University (beginning September 2003)
- Previous Positions
- Associate Professor, Texas A&M University (September 2001 - August 2003)
- Assistant Professor, Texas A&M University (August 1999 - August 2001)
- Lektor, Odense Univesity (January 1999 - June 1999)
- Adjunkt, Odense Univesity (January 1996 - December 1999)
- Fields Institute Research Fellow (August 1994 - June 1995)
- NSF Postdoctoral Fellow at UC-Berkeley and the Fields Institute (August 1993 - December 1995).
- Selected Visiting Positions
- Development leave from Texas A&M University taken at the University
of Muenster, Germany, partially funded by the Alexander-von-Humboldt Foundation,
(September 2004 - July 2005).
- Researcher at MSRI, (January - May 2001)
- SDU-Odense University, (June 2000)
- CNRS Chercheur Associé at Luminy, France (October - December 1998)
Selected Publications
- with Hari Bercovici, Benoit Collins, Wing Suet Li and Dan Timotin,
``Intersections of Schubert varieties and eigenvalue inequalities in an arbitrary finite factor,''
preprint, arXiv:0805.4817.
- with Nathanial P. Brown and Kenley Jung, (with an appendix by Wolfgang Lueck),
``Free entropy dimension in amalgamated free products,'' to appear in Proc. London Math. Soc. (32 pages).
- ``Multilinear function series and transforms in free probability theory'',
Adv. Math. 208 (2007), 351-407.
- ``On the S-transform over a Banach algebra,''
J. Funct. Anal. 231 (2006), 90-110.
- with Kenley Jung and Dimitri Shlyakhtenko,
``The microstates free entropy dimension of any DT-operator is 2'',
Documenta Math. 10 (2005), 247-261.
- with Tadeusz Figiel, Gary Weiss and
Mariusz Wodzicki,
``Commutator structure of operator ideals,''
Adv. Math. 185 (2004), 1-79.
- with Uffe Haagerup,
``DT-operators and decomposability of Voiculescu's circular operator,''
American J. Math. 126 (2004), 121-189.
- ``Exactness of reduced amalgamated free product C*-algebras,''
Forum Math. 16 (2004), 161-180.
- with Nathanial Brown and Dimitri Shlyakhtenko,
``Topological entropy of free product automorphisms,''
Acta Math. 189 (2002), 1-35.
- with Uffe Haagerup,
``Invariant subspaces of Voiculescu's circular operator,''
Geom. Funct. Anal. 11 (2001), 693-741.
- with Florin Radulescu,
``Compressions of free products of von Neumann algebras,''
Math. Ann. 316 (2000), 61-82
- with Pierre de la Harpe,
``Some groups whose reduced C*-algebras have stable rank one,''
J. Math. Pures Appl. 78, (1999), 591-608.
- with Mikael Rørdam,
``Projections in free product C*-algebras,''
Geom. Funct. Anal. 8 (1998), 1-16.
- with Nigel Kalton,
``Spectral characterization of sums of commutators II,''
J. reine angew. Math. 504 (1998), 127-137.
- with Uffe Haagerup and Mikael Rørdam,
``The stable rank of some free product C*-algebras,''
Duke Math. J. 90, (1997), 95-121.
- ``Factoriality and Connes' invariant T(M) for free products of von Neumann algebras,''
J. reine angew. Math. 450, (1994), 159-180.
- ``Free products of hyperfinite von Neumann algebras and free dimension,''
Duke Math. J., 69 (1993), 97-119.
The list above is extracted from a complete list of 52 refereed papers, one published book and 4 preprints.
( In print, Others)
Selected Talks
- Great Plains Operator Theory Symposium, University of Cincinnati, June 2008 (50 minutes).
- Fields Institute Workshop around Connes' Embedding Problem, Ottawa, May, 2008 (50 minutes).
- Von Neumann Algebras and Applications, Banff International Research Station, March 2008 (50 minutes).
- Free Probability, Extensions and Applications, Banff International Research Station, January 2008 (40 minutes).
- Von Neumann Algebra Workshop, Fields Institute, Toronto, November 2007 (50 minutes).
- East Coast Operator Algebras Symposium, Wellesley, MA, September 2007 (55 minutes).
- Operator Spaces and Group Algebras, Banff International Research Station, August 2007 (50 minutes).
- Operator Spaces, Noncommutative Lp-spaces and Applications, CIRM, Luminy, France, June 2007 (45 minutes).
- Free Probability and Large N Limit, UC-Berkeley, March 2007 (45 minutes).
- Recent advances in von Neumann algebras, La Sapienza, Rome, Italy, November 2006 (50 minutes).
- 21st International Conference in Operator Theory, Timisoara, Romaina, July, 2006 (40 minutes).
- Wabash Mini-conference, Indianapolis, September, 2005 (50 minutes).
- Oberwolfach workshop, Oberwolfach, Germany September, 2005 (40 minutes).
- Operator Algebras and Applications, Cork, Ireland, June, 2005
(two 60 minutes plenary talks).
- Noncommutative Geometry and Operator Algebras Conference,
Vanderbilt University, Nashville, May, 2005 (50 minutes).
- Free Probability Workshop, Oberwolfach, Germany, March, 2005 (50 minutes).
- Free Probability conference, Banff International Research Station
(Pacific Institute of Mathematical Sciences), October, 2004 (30 minutes).
- The Abel Symposium, Oslo, Norway, September 2004 (45 minutes).
- The Canadian Operator Symposium, Waterloo, Ontario, May 2004 (50 minutes).
- Von Neumann algebras conference,
Centre International des Recontres Mathematiques, Luminy, France, February 2004 (45 minutes).
- Free Probability Workshop, University of California, Berkeley, August 2003 (1 hour).
- Great Plains Operator Theory Symposium, University of Illinois, May 2003 (50 minutes).
- Random Matrices and Related Topics Conference, Sandbjerg Manor, Denmark, January 2003 (45 minutes).
- Entropy in Operator Algebras workshop, IPAM, Los Angeles, July 2002 (1 hour).
- C*-algebras, Mathematisches Forschungsinstitut Oberwolfach, Germany, December 2001 (45 minutes).
- Free probability workshop, Fields Institute, Toronto, December 2001 (50 minutes).
- Operator Algebras and Mathematical Physics, Constanta, Romania, July 2001 (45 minute plenary talk).
- Sonderforschungsbereich "Geometrische Strukturen in der Mathematik", Münster, Germany, July 2001 (75 minutes).
- Free Probability Theory Workshop, MSRI, January 2001 (50 minutes).
- Wabash Conference, Indianapolis, October 2000 (50 minute plenary talk).
- Noncommutative and Dynamical Systems Workshop, MSRI, September 2000 (30 minutes).
- Danish--Norwegian Operator Algebras Conference, Schaeffergaarden, Copenhagen, August 2000 (25 minutes).
- AMS/Scandinavian Meeting, C*-algebras and K-theory special session, Odense, Denmark, June 2000 (45 minutes).
- Operator Theory Conference, OT18, Timisoara, Romania, June 2000 (45 minutes).
- Free Probability Theory and Random Matrices, Sandbjerg, Denmark, June 2000 (45 minutes).
- Workshop on Free Probability, Institut Henri Poincaré, Paris, January 2000 (one hour);
- Operator Theory on the Prarie, Regina, Saskatchewan, August 1999 (principal speaker, 2 x one hour);
- Irregular Functional Analysis Seminar, Texas A&M University, August 1999, (2 x one hour);
- Workshop in C*-algebras, Münster, Germany, March 1999, (one hour);
- Workshop at the Erwin Schrödinger Institute, Vienna, January 1999, (2 x 45 minutes);
- Collége de France, December 1998, (90 minutes);
- Noncommutative Geometry Conference, Copenhagen, Denmark, August 1998 (30 minute plenary talk);
- C*-algebras Conference, Mathematisches Forschunginstitut, Oberwolfach, Germany, February 1998, (50 minutes);
- Free Probability and Operator Spaces Conference, CIRM, Luminy, France, January 1998;
- Von Neumann Algebras and Dynamical Systems Conference, Nordfjordeid, Norway, August 1997 (45 minutes);
- Aarhus Univeristy, Analysis Seminar, March 1997 (90 minutes)
- Universiy of Copenhagen Operator Algebra Seminar, November 1996, (90 minutes);
- C*-algebras Conference, Mathematisches Forschunginstitut, Oberwolfach, Germany, April 1996 (30 minutes);
- North British Functional Analysis Seminar, Edinburgh, April 1996, (one of two speakers, 2 x one hour).
- Seminar Talk, Oslo University, March 1996 (90 minutes);
- Functional Analysis Colloquium, University of California at Berkeley, September, 1995 (one hour);
- Operator Algebra Free Products and Random Matrices Workshop, Fields Institute, Waterloo, Ontario, March 1995 (80 minutes);
- Seminar Talk, University of Kyushu, February 1995 (one hour);
- Seminar Talk, University of Tokyo, February 1995 (two hours);
- Informal Regional Functional Analysis Seminar, San Antonio, Texas, November 1994 (one hour);
- West Coast Operator Algebra Symposium, Los Angeles, September 1994 (one hour);
- ICM Sattelite Conference in Operator Algebras, Geneva, July 1994 (30 minutes);
- Quantum Probability Conference, Nottingham, England, March 1993 (30 minutes).
- Seminar Talks in Heidelberg, Germany, January 1993, January 1992 and August 1991.
- Quantenstochastic Conference, Mathematisches Forschunginstitut Oberwolfach, Germany, December 1991 (45 minutes);
Research level short courses and lecture series
- "Random matrices, free probability and invariant subspaces,"
Operator Algebras and Random Matrices conference, Ambleside, England, U.K., July 2004 (four hours).
- "Free products of C*-algebras," ICMS, Edinburgh, Scotland, April 2000 (three hours).
- "Von Neumann algebras related to free groups and free products," Institut Henri Poincaré, Paris, January 2000 (six hours);
- "Free probability theory and operator algebras," Summer School in Operator Algebras, Odense University, August 1996 (six hours);
- "Free products of von Neumann algebras," Odense University, November/December, 1995 (eight hours);
- "Free probability and von Neumann algebras," Seoul National Universtiy, Seoul, Korea, February 1995 (nine hours).
Colloquia
- CRM--University of Ottawa Distinguished Lecture, November 2007.
- University of Texas, San Antonio (4/08); Indiana University (10/07); Vanderbilt University (3/07);
University of Waterloo (10/03); Ohio State University (2/02);
University of Houston (3/00); Purdue University (9/99); University of Missouri, Columbia (9/99);
Texas A&M University (10/99); University of Texas, Austin (10/99);
Oslo Universtiy (3/96); Odense University (11/95 and many times thereafter);
University of Tokyo (2/95); University of Houston (11/94);
University of Oregon (5/93).
Teaching
Extensive teaching experience, from calculus to advanced undergraduate to introductory graduate to advanced graduate
courses. Presently advising four Ph.D. students, and have had one advisee (Nikolay Ivanov) graduate with a Ph.D. in
2007.
This C.V. was last updated on July 1, 2008.