Research Interests
Low Dimensional Topology, Invariants of Knots and Links
Grants
- NSF grant, DMS # 0906401;
August 1, 2009 - July 31, 2012.
Publications
and Preprints
- Book: Matematici speciale
pentru ingineri. Colectie de
probleme (Collection of problems), The "Politehnica"
Publishing House, 1999 (with M.D. Rendi, I. Mihut, D. Popescu).
- On the stability of mappings and
an answer to a problem of
Th.M. Rassias, Ann. Math. Blaise Pascal,
Vol.2, nr.2, (1995), 55-66 (with P. Gavruta, M. Hossu,
D. Popescu). pdf
- An sl(2) tangle homology and
seamed cobordisms, Ph.D
thesis, University of Iowa. pdf
- An sl(2) tangle homology and
seamed cobordisms, preprint 2007, arXiv:math.GT/0707.3051
- sl(2) tangle homology with a
parameter and singular cobordisms, Algebraic and Geometric Topology 8 (2008), 729-756.
- The universal sl(2) cohomology
using webs and foams, Topology
and its Applications 156 (2009), 1684-1702, preprint 2008, arXiv:math.GT/0802.2848
- Universal Khovanov-Rozansky
sl(2) cohomology, J. Knot
Theory Ramifications 19, Issue
6 (2010), 739-761, preprint 2008, arXiv:math.GT/0805.2755
- On the sl(2) foam cohomology
computations, J. Knot
Theory Ramifications 18,
Issue 9 (2009), 1313-1328, preprint 2008, arXiv:math.GT/0805.4651
- Twin TQFTs and Frobenius algebras,
preprint 2009, arXiv:math.GT/0901.2979
- The sl(2) foam cohomology via
extended TQFTs, preprint 2010, arXiv:math.GT/1001.1797
- On the quantum filtration of the
universal sl(2) foam cohomology, will be published in the J. Knot Theory Ramifications,
preprint 2010, arXiv:math.GT/1006.2575
- The Kauffman polynomial and
trivalent graphs, preprint 2011, arXiv:math.GT/1107.1210
Selected Talks
- The Kauffman polynomial and
trivalent graphs, AMS Sectional Meeting,
University of Nebraska-Lincoln, October 14-16, 2011.
- Trivalent graphs and the
Kauffman polynomial, "Knots in Washington XXXII", George
Washington University, Washington D.C., April 29-May 1, 2011.
- A polynomial invariant of
3-valent graphs embedded in R^3, AMS Sectional Meeting,
University of Iowa, March 2011.
- sl(n) link homology, AMS
Sectional Meeting, University of California Los Angeles, October
2010.
- On a categorification of the
colored Jones polynomial, "KNOTS in Poland III", Conference and
Workshop on Knot Theory and its Ramifications, Warsaw, Poland, July
18-24, 2010.
- Link cohomology and extended
TQFTs, AMS Sectional Meeting, New Jersey Institute of
Technology, Newark, NJ, May 2010. pdf
- The universal sl(2) foam
cohomology for links, Connections for Women: Homology Theories
of Knots and Links, MSRI, January 2010.
- The universal sl(2) foam
cohomology for links via extended TQFTs, AMS Sectional Meeting,
UC Riverside, November 2009.
- On the filtered sl(2) foam
cohomology for links, AMS Sectional
Meeting, Florida Atlantic University, Boca Raton, FL, October 2009.
- On the universal sl(2) foam
cohomology, "Claremont Topology Seminar", Claremont Colleges,
March 24, 2009.
- Twin TQFTs and Frobenius
algebras, AMS National Meeting, Washington D.C., January
2009. pdf
- TQFTs defined on singular
2-cobordisms, The Topology and Geometry
of Physics - The 8th Annual Red Raider Mini Symposium, Texas Tech
University, October 2008.
- On the Khovanov-Rozansky
cohomology, AMS Sectional Meeting, Louisiana State University,
Baton Rouge, March 2008. pdf
- On a generalized version of the
Khovanov-Rozansky Homology
for n = 2, Workshop on Knots and Quantum Computing, University
of Texas
at Dallas, December 2007.
- The universal sl(2)-link
cohomology via webs and foams, ''Knotting Mathematics and
Art'', University of South Florida, Tampa, November
2007. pdf
- On the universal sl(2)-link
cohomology, "Cascade Topology
Seminar", Boise State University, October 2007. pdf
- An sl(2) tangle homology and
seamed cobordisms, AMS
Sectional Meeting, Miami University, Oxford, Ohio, March
2007. pdf
- An sl(2) tangle homology for
dotted, seamed cobordisms,
CMS, Toronto, December 2006.
- An sl(2) tangle homology for
seamed cobordisms with
polynomial coefficients, "Knots in Washington", George
Washington
University, Washington D.C., November 2006.
- Khovanov homology for tangles
and cobordisms, Low
Dimensional Topology Seminar, University of Iowa, October
2006.
- The Alexander polynomial,
Graduate And Undergraduate
Student Seminar (GAUSS), University of Iowa, March 2006.
- Triply graded link homology,
Topology Seminar, University
of Iowa, February 2006.
- Introduction to
Khovanov-Rozansky homology, Workshop on
Khovanov and Hochschild homology, University of Iowa, October 2005.
- Introduction to "Macaulay 2",
Low Dimensional Topology
Seminar, University of Iowa, April 2005.
My Erdös
number
is less or equal to 4.
- Erdös, Paul ;
Volkmann, Bodo; Additive Gruppen mit vorgegebener
Hausdorffscher Dimension (German). J. Reine Angew. Math. 221 1966
203--208.
- Volkmann, Bodo ; Jung,
Soon-Mo; Remarks on a paper of Wagner. (English summary).
J. Number Theory 56 (1996), no. 2, 329--335.
- Gavruta, Pasc; Jung,
Soon-Mo;
Lee, Ki-Suk; Remarks on the Pexider equations modulo a subgroup.
(English summary). Far East J. Math. Sci. (FJMS) 19 (2005), no. 2,
215--222.
- Gavruta, Pasc;
Hossu, M.; Popescu, D.; Caprau,
Carmen;
W. F. On the stability of mappings and an answer to a problem of Th. M.
Rassias. (English, French summary). Ann. Math. Blaise Pascal 2 (1995),
no. 2, 55--60.
My math genealogy:
Erhard Weigel
Gottfried Leibniz
Jacob Bernoulli
Johann Bernoulli
Leonhard Euler
Joseph Lagrange
Simeon Poisson
Michel Chasles
H. A. Newton
E. H. Moore
Oswald Veblen
R. L. Moore
Raymond Wilder
Frank Raymond
Allan Edmonds
Charles Frohman
Me!! |
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