HR job title
- Professor
- Contact Info
- 1 979 845 7554
Dykema, Kenneth Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
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- Works By Students
- Background
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Overview
Publications
selected publications
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academic article
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Dykema, K., & Skoufranis, P.
(2018).
Numerical Ranges in II1 Factors. Proceedings of the Edinburgh Mathematical Society.
61(1), 31-55.
-
Dykema, K. J., Kostler, C., & Williams, J. D.
(2017).
QUANTUM SYMMETRIC STATES ON FREE PRODUCT C*-ALGEBRAS. Transactions of the American Mathematical Society.
369(1), 645-679.
-
Dykema, K., & Mukherjee, K.
(2017).
KMS quantum symmetric states. Journal of Mathematical Physics.
58(1), 012103-012103.
-
Dykema, K., Sukochev, F., & Zanin, D.
(2016).
Algebras of Log-Integrable Functions and Operators. Complex Analysis and Operator Theory.
10(8), 1775-1787.
-
Dykema, K. J., & Na, W.
(2016).
Principal Functions for Bi-free Central Limit Distributions. Integral Equations and Operator Theory.
85(1), 91-108.
-
Dykema, K. J.
(2016).
Generating functions for purely crossing partitions. 66(2), 276-287.
-
Dykema, K. J., & Klep, I.
(2016).
Instances of the Kaplansky-Lvov multilinear conjecture for polynomials of degree three. Linear Algebra and Its Applications.
508, 272-288.
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Dykema, K., Noles, J., Sukochev, F., & Zanin, D.
(2016).
On reduction theory and Brown measure for closed unbounded operators. Journal of Functional Analysis.
271(12), 3403-3422.
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Dykema, K. J., & Paulsen, V.
(2016).
Synchronous correlation matrices and Connes' embedding conjecture. Journal of Mathematical Physics.
57(1), 015214-015214.
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Dykema, K., & Skripka, A.
(2015).
Erratum to: Perturbation Formulas for Traces on Normed Ideals. Communications in Mathematical Physics.
340(2), 865-865.
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Dykema, K., Sukochev, F., & Zanin, D.
(2015).
A decomposition theorem in II1-factors. Journal für die Reine und Angewandte Mathematik.
2015(708), 97-114.
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Dykema, K., Heister, T., & Juschenko, K.
(2015).
Finitely Presented Groups Related to Kaplanskys Direct Finiteness Conjecture. Experimental Mathematics.
24(3), 326-338.
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Bercovici, H., Collins, B., Dykema, K., & Li, W. S.
(2015).
Characterization of singular numbers of products of operators in matrix algebras and finite von Neumann algebras. Bulletin des Sciences Mathematiques.
139(4), 400-419.
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Dykema, K. J., & Paulsen, V.
(2015).
Synchronous correlation matrices Connes' embedding conjecture (vol 57, 015214, 2016). Journal of Mathematical Physics.
56(12), 129901-129901.
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Dykema, K., & Skripka, A.
(2015).
Hlder's inequality for roots of symmetric operator spaces. Studia Mathematica.
228(1), 47-54.
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Dykema, K., Sukochev, F., & Zanin, D.
(2015).
Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras. Illinois Journal of Mathematics.
59(3), 819-824.
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Dykema, K., & Juschenko, K.
(2015).
On stable finiteness of group rings. Algebra and Discrete Mathematics.
19(1), 44-47.
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Dykema, K., & Torres-Ayala, F.
(2014).
Primitivity of unital full free products of residually finite dimensional C-algebras. Journal of Functional Analysis.
267(11), 4519-4558.
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Dykema, K. J., & Ostler, C. K.
(2014).
TAIL ALGEBRAS OF QUANTUM EXCHANGEABLE RANDOM VARIABLES. Proceedings of the American Mathematical Society.
142(11), 3853-3863.
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Dykema, K., & Skripka, A.
(2014).
Perturbation Formulas for Traces on Normed Ideals. Communications in Mathematical Physics.
325(3), 1107-1138.
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Dykema, K., Kerr, D., & Pichot, M.
(2014).
SOFIC DIMENSION FOR DISCRETE MEASURED GROUPOIDS. Transactions of the American Mathematical Society.
366(2), 707-748.
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Burgdorf, S., Dykema, K., Klep, I., & Schweighofer, M.
(2014).
Connes' embedding conjecture and sums of hermitian squares (vol 217, pg 1816, 2008). Advances in Mathematics.
252, 805-811.
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Dabrowski, Y., Dykema, K. J., & Mukherjee, K.
(2014).
The simplex of tracial quantum symmetric states. Studia Mathematica.
225(3), 203-218.
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Dykema, K., Fang, J., & Skripka, A.
(2014).
Upper triangular Toeplitz matrices and real parts of quasinilpotent operators. INDIANA UNIVERSITY MATHEMATICS JOURNAL.
63(1), 53-75.
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Dykema, K. J., & Redelmeier, D.
(2013).
THE AMALGAMATED FREE PRODUCT OF HYPERFINITE VON NEUMANN ALGEBRAS OVER FINITE DIMENSIONAL SUBALGEBRAS. HOUSTON JOURNAL OF MATHEMATICS.
39(4), 1313-1331.
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Ara, P., Dykema, K. J., & Rordam, M.
(2013).
Correction of Proofs in "Purely Infinite Simple C*-algebras Arising from Free Product Constructions" and a Subsequent Paper. Canadian Journal of Mathematics.
65(3), 481-484.
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DYKEMA, K., & MUKHERJEE, K.
(2013).
MEASURE-MULTIPLICITY OF THE LAPLACIAN MASA. Glasgow Mathematical Journal.
55(2), 285-292.
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Bercovici, H., Dykema, K., & Li, W. S.
(2013).
The Horn inequalities for submodules. Acta Universitatis Szegediensis: Acta Scientiarum Mathematicarum.
79(1-2), 17-30.
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Dykema, K., & Skripka, A.
(2012).
On single commutators in II _ { 1 } \_{1} factors. Proceedings of the American Mathematical Society.
140(3), 931-940.
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Dykema, K. J., Fang, J., Hadwin, D. W., & Smith, R. R.
(2012).
THE CARPENTER AND SCHUR-HORN PROBLEMS FOR MASAS IN FINITE FACTORS. Illinois Journal of Mathematics.
56(4), 1313-1329.
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Collins, B., & Dykema, K. J.
(2011).
A nonconvex asymptotic quantum Horn body. 17, 437-444.
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Dykema, K.
(2011).
A description of amalgamated free products of finite von Neumann algebras over finitedimensional subalgebras. Bulletin of the London Mathematical Society.
43(1), 63-74.
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Dykema, K., & Juschenko, K.
(2011).
Matrices of unitary moments. Mathematica Scandinavica: ediderunt societates mathematicae Daniae Fenniae Islandiae Norvegiae Sveci.
109(2), 225-239.
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Collins, B., Dykema, K. J., & Torres-Ayala, F.
(2010).
Sum-of-Squares Results for Polynomials Related to the BessisMoussaVillani Conjecture. Journal of Statistical Physics.
139(5), 779-799.
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Bercovici, H., Collins, B., Dykema, K., Li, W. S., & Timotin, D.
(2010).
Intersections of Schubert varieties and eigenvalue inequalities in an arbitrary finite factor. Journal of Functional Analysis.
258(5), 1579-1627.
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Dykema, K., & Schultz, H.
(2009).
Brown measure and iterates of the Aluthge transform for some operators arising from measurable actions. Transactions of the American Mathematical Society.
361(12), 6583-6593.
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Abadie, B., & Dykema, K.
(2009).
Unique ergodicity of free shifts and some other automorphisms of C* -algebras. Journal of Operator Theory.
61(2), 279-294.
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Dykema, K., & Skripka, A.
(2009).
Higher order spectral shift. Journal of Functional Analysis.
257(4), 1092-1132.
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Collins, B., & Dykema, K.
(2009).
On a reduction procedure for Horn inequalities in finite von Neumann algebras. Operators and Matrices.
3(1), 1-40.
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Collins, B., & Dykema, K.
(2008).
A linearization of Connes' embedding problem. 14, 617-641.
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Brown, N. P., Dykema, K. J., & Jung, K.
(2008).
Free entropy dimension in amalgamated free products. Proceedings of the London Mathematical Society.
97(2), 339-367.
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Dykema, K. J., & Tucci, G. H.
(2007).
The free entropy dimension of some L-infinity[0,1]-circular operators. International Journal of Mathematics.
18(6), 613-631.
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Dykema, K., & Viola, M. G.
(2007).
Non-outer conjugate
p2 -actions on free product factors. Journal of Operator Theory. 57(2), 267-301.
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Dykema, K. J.
(2007).
Multilinear function series and transforms in free probability theory. Advances in Mathematics.
208(1), 351-407.
-
Dykema, K. J.
(2006).
On the S-transform over a Banach algebra. Journal of Functional Analysis.
231(1), 90-110.
-
Dykema, K. J., Sinclair, A. M., & Smith, R. R.
(2006).
Values of the Pukanszky invariant in free group factors and the hyperfinite factor. Journal of Functional Analysis.
240(2), 373-398.
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Dykema, K. J., & Kalton, N. J.
(2005).
Sums of commutators in ideals and modules of type II factors. Annales de l'Institut Fourier.
55(3), 931-+.
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Dykema, K., Jung, K., & Shlyakhtenko, D.
(2005).
The microstates free entropy dimension of any DT-operator is 2. Documenta Mathematica.
10(1), 247-261.
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Dykema, K., & Tucci, G.
(2005).
Hyperinvariant subspaces for some Bcircular operators. Mathematische Annalen.
333(3), 485-523.
-
Dykema, K. J., & Smith, R. R.
(2005).
The completely bounded approximation property for extended Cuntz-Pimsner algebras. HOUSTON JOURNAL OF MATHEMATICS.
31(3), 829-840.
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Dykema, K., Freeman, D., Kornelson, K., Larson, D., Ordower, M., & Weber, E.
(2004).
Ellipsoidal tight frames and projection decompositions of operators. Illinois Journal of Mathematics.
48(2), 477-489.
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Dykema, K., & Haagerup, U.
(2004).
DT-operators and decomposability of Voiculescu's circular operator. American Journal of Mathematics.
126(1), 121-189.
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Dykema, K., Figiel, T., Weiss, G., & Wodzicki, M.
(2004).
Commutator structure of operator ideals. Advances in Mathematics.
185(1), 1-79.
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Dykema, K. J.
(2004).
Exactness of reduced amalgamated free product C*-algebras. Forum Mathematicum.
16(2), 161-180.
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Dykema, K., & Haagerup, U.
(2004).
Invariant subspaces of the quasinilpotent DT-operator. Journal of Functional Analysis.
209(2), 332-366.
-
Brown, N. P., & Dykema, K. J.
(2004).
Popa algebras in free group factors. Journal für die Reine und Angewandte Mathematik.
573(573), 157-180.
-
Dykema, K., & Yan, C.
(2003).
Generating functions for moments of the quasi-nilpotent DT-operator. 30(3), 545-561.
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Brown, N. P., Dykema, K., & Shlyakhtenko, D.
(2002).
Topological entropy of free product automorphisms. Acta Mathematica.
189(1), 1-35.
-
Dykema, K.
(2002).
Free Subproducts and Free Scaled Products of II1-Factors. Journal of Functional Analysis.
194(1), 142-180.
-
Dykema, K. J.
(2002).
Purely infinite, simple C*-algebras arising from free product constructions, II. Mathematica Scandinavica: ediderunt societates mathematicae Daniae Fenniae Islandiae Norvegiae Sveci.
90(1), 73-86.
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Dykema, K. J.
(2001).
Topological entropy of some automorphisms of reduced amalgamated free product C*-algebras. Ergodic Theory and Dynamical Systems.
21(6), 1683-1693.
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Dykema, K. J., & Shlyakhtenko, D.
(2001).
Exactness of Cuntz-Pimsner C*-algebras. Proceedings of the Edinburgh Mathematical Society.
44(2), 425-444.
-
Blanchard, E. F., & Dykema, K. J.
(2001).
Embeddings of reduced free products of operator algebras. PACIFIC JOURNAL OF MATHEMATICS.
199(1), 1-19.
-
Dykema, K., & Haagerup, U.
(2001).
Invariant subspaces of Voiculescu's circular operator. GEOMETRIC AND FUNCTIONAL ANALYSIS.
11(4), 693-741.
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Choda, M., & Dykema, K. J.
(2000).
Purely infinite, simple c*-algebras arising from free product constructions. III. Proceedings of the American Mathematical Society.
128(11), 3269-3273.
-
Dykema, K. J., & Radulescu, F.
(2000).
Compressions of free products of von Neumann algebras. Mathematische Annalen.
316(1), 61-82.
-
Dykema, K. J., & Rrdam, M.
(2000).
Projections in free product C $^*$algebras, II. Mathematische Zeitschrift.
234(1), 103-113.
-
Dykema, K. J.
(1999).
Simplicity and the stable rank of some free product c*-algebras. Transactions of the American Mathematical Society.
351(1), 1-40.
-
Dykema, K. J., & de la Harpe, P.
(1999).
Some groups whose reduced C-algebras have stable rank one. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES.
78(6), 591-608.
-
Dykema, K. J., & Kalton, N. J.
(1998).
Spectral characterization of sums of commutators II. Journal für die Reine und Angewandte Mathematik.
504, 127-137.
-
Dykema, K. J.
(1998).
Faithfulness of Free Product States. Journal of Functional Analysis.
154(2), 323-329.
-
Dykema, K. J., & Rrdam, M.
(1998).
Projections in Free Product C*-algebras. GEOMETRIC AND FUNCTIONAL ANALYSIS.
8(1), 1-16.
-
Dykema, K. J., & Rrdam, M.
(1998).
Purely Infinite, Simple C*-Algebras Arising From Free Product Constructions. Canadian Journal of Mathematics.
50(2), 323-341.
-
Dykema, K., Haagerup, U., & Rrdam, M.
(1997).
The stable rank of some free product $C^ast$-algebras. DUKE MATHEMATICAL JOURNAL.
90(1), 95-121.
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Dykema, K. J.
(1997).
Two applications of free entropy. Mathematische Annalen.
308(3), 547-558.
-
Dykema, K.
(1994).
Interpolated free group factors. PACIFIC JOURNAL OF MATHEMATICS.
163(1), 123-135.
-
Dykema, K. J.
(1994).
Factoriality and Connes' invariant T(M) for free products of von Neumann algebras. Journal für die Reine und Angewandte Mathematik.
1994(450), 159-180.
-
Dykema, K.
(1993).
Free products of hyperfinite von Neumann algebras and free dimension. DUKE MATHEMATICAL JOURNAL.
69(1), 97-119.
-
Dykema, K.
(1993).
On Certain Free Product Factors via an Extended Matrix Model. Journal of Functional Analysis.
112(1), 31-60.
-
Nica, A., & Dykema, K.
(1993).
On the Fock representation of the q-commutation relations. Journal für die Reine und Angewandte Mathematik.
1993(440), 201-212.
-
King, F. W., Dykema, K. J., & Lund, A. D.
(1992).
Calculation of some integrals for the atomic three-electron problem. Physical Review A: Atomic, Molecular and Optical Physics.
46(9), 5406-5416.
-
King, F. W., Dykema, K. J., & Dalke, B. D.
(1992).
Nonlinear programming approach to locally constrained variational calculations: He and H in the HartreeFock approximation. Journal of Chemical Physics.
96(4), 2889-2894.
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Steckler, R., Dykema, K. J., Brown, F. B., Hancock, G. C., Truhlar, D. G., & Valencich, T.
(1987).
A comparative study of potential energy surfaces for CH 3 +H 2 CH 4 +H. Journal of Chemical Physics.
87(12), 7024-7035.
-
Dykema, K. J., Truong, T. N., & Gordon, M. S.
(1985).
Studies of silicon-phosphorus bonding. Journal of the American Chemical Society.
107(15), 4535-4541.
-
Raghavachari, K., Chandrasekhar, J., Gordon, M. S., & Dykema, K.
(1984).
Theoretical study of silylene insertion into nitrogen-hydrogen, oxygen-hydrogen, fluorine-hydrogen, phosphorus-hydrogen, sulfur-hydrogen, and chlorine-hydrogen bonds. Journal of the American Chemical Society.
106(20), 5853-5859.
-
King, F. W., & Dykema, K. J.
(1983).
Bounds for the atomic Hartree-Fock electronic density. Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society.
16(12), 2071-2077.
-
Dykema, K., & Skoufranis, P.
(2018).
Numerical Ranges in II1 Factors. Proceedings of the Edinburgh Mathematical Society.
61(1), 31-55.
-
book
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Voiculescu, D. V., Dykema, K. J., & Nica, A.
(1992).
Free Random Variables. American Mathematical Soc..
-
Voiculescu, D. V., Dykema, K. J., & Nica, A.
(1992).
Free Random Variables. American Mathematical Soc..
-
conference paper
-
Armstrong, S., Dykema, K., Exel, R., & Li, H.
(2004).
On embeddings of full amalgamated free product C ^* algebras. Proceedings of the American Mathematical Society.
2019-2030.
-
DYKEMA, K.
(2004).
Subfactors of free products of rescalings of a II$_1$factor. Cambridge Philosophical Society: Mathematical Proceedings.
643-656.
-
Dykema, K., & Rdulescu, F.
(2003).
Rescalings of free products of II
1 -factors. Proceedings of the American Mathematical Society. 1813-1816.
-
Armstrong, S., Dykema, K., Exel, R., & Li, H.
(2004).
On embeddings of full amalgamated free product C ^* algebras. Proceedings of the American Mathematical Society.
2019-2030.
Research
principal investigator on
- Fundamental Decomposition Results in Finite Von Neumann Algebras awarded by National Science Foundation - (Arlington, Virginia, United States) 2018 - 2021
- Great Plains Operator Theory Symposium 2019- awarded by National Science Foundation - (Arlington, Virginia, United States) 2019 - 2020
- Travel Support for US Participants in Focus Program ``New Developments in Free Probability and Applications'-at the Centre de Recherche Mathematiques.- awarded by National Science Foundation - (Arlington, Virginia, United States) 2019 - 2020
- Travel Support for US Participants in Focus Program ``New Developments in Free Probability and Applications'-at the Centre de Recherche Mathematiques.- awarded by National Science Foundation - (Arlington, Virginia, United States) 2019 - 2020
- Travel Support for US Participants in Focus Program ``New Developments in Free Probability and Applications'-at the Centre de Recherche Mathematiques.- awarded by National Science Foundation - (Arlington, Virginia, United States) 2019 - 2020
- Travel Support for US Participants in Focus Program ``New Developments in Free Probability and Applications'-at the Centre de Recherche Mathematiques.- awarded by National Science Foundation - (Arlington, Virginia, United States) 2019 - 2020
- NSF-Research In Finite Von Neumann Algebras awarded by National Science Foundation - (Arlington, Virginia, United States) 2012 - 2016
Teaching
teaching activities
- MATH172 Hnr-calculus Instructor
- MATH221 Hnr-sev Variable Calculus Instructor
- MATH409 Hnr-advanced Calculus I Instructor
- MATH446 Analysis On Metric Spaces Instructor
- MATH446 Hnr-principles Of Analysis I Instructor
- MATH446 Principles Of Analysis I Instructor
- MATH447 Princ Of Analysis Ii Instructor
- MATH607 Real Variables I Instructor
- MATH608 Real Variables Ii Instructor
- MATH685 Directed Studies Instructor
- MATH691 Research Instructor
Works By Students
chaired theses and dissertations
-
Ivanov, Nikolay Antonov (2009-05). On the structure of some free products of C*-algebras.
-
Mukherjee, Kunal K. (2010-10). Masas and Bimodule Decompositions of II_1 Factors.
-
Na, Wonhee (2018-11). Some Results on Bi-Free Probability.
-
Strawn, Nathaniel Kirk (2009-05). Geometry and constructions of finite frames.
-
Torres Ayala, Francisco (2012-07). On Primitivity and the Unital Full Free Product of Finite Dimensional C*-algebras.
-
Tucci Scuadroni, Gabriel H. (2010-07). Some Results in the Hyperinvariant Subspace Problem and Free Probability.
Background
education and training
- Ph.D. in Mathematics, University of California, Berkeley - (Berkeley, California, United States) 1993
- B.A. in Mathematics, University of Oxford - (Oxford, Oxfordshire, United Kingdom) 1987
- B.S. in Mathematics and Chemistry, King's University - (Southlake, Texas, United States) 1985
Contact
first name
- Kenneth
has last name
- Dykema
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- kjd@tamu.edu