Research Interests

Low Dimensional Topology, Invariants of Knots and Links


 Publications and  Preprints

  1. Book: Matematici speciale pentru ingineri. Colectie de probleme (Collection of problems), The "Politehnica" Publishing House, 1999 (with M.D. Rendi, I. Mihut, D. Popescu).
  2. On the stability of mappings and an answer to a problem of Th.M. Rassias, Ann. Math. Blaise Pascal, Vol.2, nr.2, 1995, pp.55-66 (with P. Gavruta, M. Hossu, D. Popescu). pdf
  3. An sl(2) tangle homology and seamed cobordisms, Ph.D thesis, University of Iowa. pdf
  4. An sl(2) tangle homology and seamed cobordisms, preprint 2007, arXiv:math.GT/0707.3051
  5. sl(2) tangle homology with a parameter and singular cobordisms, Algebraic and Geometric Topology 8 (2008) 729-756.
  6. The universal sl(2) cohomology using webs and foams, Topology and its Applications 156 (2009) 1684-1702, preprint 2008, arXiv:math.GT/0802.2848
  7. Universal Khovanov-Rozansky sl(2) cohomology, preprint 2008, arXiv:math.GT/0805.2755
  8. On the sl(2) foam cohomology computations, J. Knot Theory Ramifications 18, Issue 9 (2009) 1313-1328, preprint 2008, arXiv:math.GT/0805.4651
  9. Twin TQFTs and Frobenius algebras, preprint 2009, arXiv:math.GT/0901.2979

 Selected Talks 

   


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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