**Research Interests**

Low Dimensional Topology, Knot Theory, Categorification

Grants

- NSF grant, DMS # 0906401; August 1, 2009 - July 31, 2012.
- MAA Tensor Women and Mathematics Grant, August 2012 - June 2013.
- MAA Tensor Women and Mathematics Grant, August 2013 - June 2014.
- AWM-NSF Travel Grant, October 2013.
- MAA Tensor Women and Mathematics Grant, August 2014 - June 2015.
- Simons Foundation--Collaboration Grant for Mathematicians #355640; September 1, 2015 – August 31, 2020.
- NSF Conference grant (Co-PI Heather M. Russell), DMS # 1548167; January 1, 2016 - December 31, 2016.
- Co-PI for NSF S-STEM Grant, DUE # 17422236 in amount of $999,752
(February 15, 2018 – January 31, 2023) - “Mentoring Math Scholars for
Success.”

- Co-PI for NSF Noyce Grant, DUE #1852962 in amount of $1,430,117.00 (May 15, 2019-April 30, 2014) – “Partnering to Prepare Outstanding Teachers of Mathematics.”
- Co-PI for NSF Conference Grant, DMS – Infrastructure Program
#1931009 in amount of $28,000 (September 1, 2019 - August 31, 2020) –
“2019 Pacific Math Alliance Conference.”

Advances in Quantum and Low-Dimensional Topology (co-organized with Heather M. Russell, Ben Cooper and Maggy Tomova) held at The University of Iowa in March 11-13, 2016.

2019 Pacific Math Alliance Conference (co-organized with Andrea Arauza Rivera, Maribel Bueno, Ricardo Cordero Soto, Jessica De Silva, Cynthia Flores, Tamas Forgacs, Omayra Ortega, Oscar Vega) held at California State University, East Bay, on October 12, 2019.

Publications and Preprints

- Book (in Romanian): 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, 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; arXiv:math.GT/0802.2848
- Universal Khovanov-Rozansky sl(2) cohomology, J. Knot Theory Ramifications 19, (2010), No. 6, 739-761; arXiv:math.GT/0805.2755
- On the sl(2) foam cohomology computations, J. Knot Theory Ramifications 18 (2009), No. 9, 1313-1328; arXiv:math.GT/0805.4651
- Twin TQFTs and Frobenius algebras, Journal of Mathematics, vol. 2013, Article ID 407068, 25 pages, (2013). doi:10.1155/2013/407068; arXiv:math.GT/0901.2979
- The sl(2) foam cohomology via extended TQFTs, New York Jornal of Mathematics 19 (2013) 61-90; http://nyjm.albany.edu/j/2013/19-6.html
- On the quantum filtration of the universal sl(2) foam cohomology, J. Knot Theory Ramifications 21, (2012) No. 3, 1250023, 12 pages; arXiv:math.GT/1006.2575
- The Kauffman polynomial and trivalent graphs (with James Tipton), Kyungpook Mathematical Journal 55 (2015) No. 4, 779-806; arXiv:math.GT/1107.1210
- A cohomology theory for colored tangles, Banach Center Publications 100 (2014), 13-25; Proceedings of Knots in Poland III, Warsaw-Bedlewo 2013; arXiv:math.GT/1207.3373
- On a state model for the SO(2n) Kauffman polynomial (with David Heywood and Dionne Ibarra), Involve-A Journal of Mathematics, Vol. 7, No.4 (2014), 547-563. DOI 10.2140/involve.2014.7.547; arXiv:math.GT/1304.4665
- The singular Temperley-Lieb category (with Joel Smith), ISRN Geometry, vol. 2014, Article ID 321509, (2014) 9 pages. DOI 10.1155/2014/321509; http://www.hindawi.com/journals/isrn/2014/321509/
- Singular links and Yang-Baxter state models (with Tsutomu Okano and Danny Orton), Rocky Mountain Journal of Mathematics, Vol. 46, No. 6 (2016) 1867-1898. DOI:10.1216/RMJ-2016-46-6-1867; arXiv:1406.3853[Math.GT]
- Three approaches to a bracket polynomial for singular links (with Alex Chichester and Patrick Chu), Involve-A Journal of Mathematics, Vol. 10, No. 2 (2017) 197-218; DOI 10.2140/involve.2017.10.197.
- A formula for the Dubrovnik polynomial of rational knots (with Katherine Urabe), Publicacions Matemātiques 61 (2017), 105-134; DOI: 10.5565/PUBLMAT 61117 04; arXiv:1503.09134[Math.GT]
- Virtual singular braids and links (with Andrew de la Pena and Sarah McGahan), Manuscripta Mathematica (September 2016) 151, Issue 1, 147-175; arXiv:1504.01086v2[Math.GT]
- Movie moves for singular link cobordisms in 4-dimensional space, J. Knot Theory Ramifications 25, No 2 (2016), 23 pages. DOI: 10.1142/S0218216516500139; arXiv:1507.04077[Math.GT].
- On the Kauffman-Jones polynomial for virtual singular links (with Kelsey Friesen), Missouri J. Math. Sci. 31, No. 1, (2019), 79-104; arXiv:1610.02691[Math.GT].
- On the virtual singular braid monoid (with Sarah Zepeda), 21 pages, preprint 2017; arXiv:1710.05416[Math.GT].
- Alexander- and Markov-type theorems for virtual trivalent braids (with Abigayle Dirdak, Rita Post and Erica Sawyer), J. Knot Theory Ramifications (online ready) doi.org/10/1142/S0218216519500032; arXiv:1804.09919[Math.GT].
- Invariants for trivalent tangles and handlebody-tangles, New York Journal of Mathematics 25 (2019), 156-167; arXiv:1806.06435[Math.GT].
- The L-move and Markov theorems for trivalent braids (with Gabriel Coloma and Marguerite Davis), Involve, a Journal of Mathematics 13, No 1 (2020), 21--50. DOI 10.2140/involve.2020.13.21 arXiv:1807.08095[Math.GT].
- On Khovanov homology and related invariants
(with Nicolle Gonzalez, Christine Ruey Shan Lee, Adam M. Lawrance,
Radmila Sazdanovic, Melissa Zhang); arXiv:2002.05247 [math.GT].

**Students Papers**

- E. Aceves and J. Elder, On invariants for spatial graphs, Rose-Hulman Undergraduate Mathematics Journal 16, No 2, Fall 2015, 17 pages; pdf
- E. Aceves, A study of projections of 2-bouquet graphs, J. of Knot Theory and its Ramifications 26, No. 5 (2017) 30 pages. DOI: 10.1142/S0218216517500250.

arXiv:1607.07144[Math.GT]

** Selected Talks
**

- Moves for isotopic singular link cobordisms in 4-space, Special Session on Invariants of Knots and Spatial Graphs, AMS Sectional Meeting, UC Riverside, CA, November 9-10, 2019.
- Mathematics: An Art and a Science,
Osher Lifelong Leaning Institute - General Session, California State University, Fresno, April 18, 2018.

- From trivalent tangles to handlebody-tangles and their invariants,
Special Session on Algebraic and Combinatorial Structures in Knot
Theory, AMS Sectional Meeting, Portland State University, OR, April 14-15, 2018.

- On the virtual singular braid monoid,
AMS Contributed Paper Session on Knots and Diagram Categories, Joint
Mathematics Meetings, San Diego, CA, January 10-13, 2018.

- Markov-type theorems for virtual trivalent braids,
Special Session on Algebraic and Combinatorial Structures in Knot
Theory, AMS Sectional Meeting, UC Riverside, CA, November 4-5, 2017.

- On the SO(2n) polynomial for virtual links,
Special Session on Invariants of Links and 3-manifolds, AMS Sectional
Meeting, University of North Texas, Denton, TX, September 9-10, 2017.

- On the virtual singular braid monoid, Special Session on Combinatorial and Algebraic Structures in Knot Theory, AMS Sectional Meeting, Washington State University, Pullman, WA, April 22-23, 2017.
- Why knot, Provost’s Awards Lecture Series, California State University, Fresno, October 12, 2016.
- On the sl(n) homology theory (for n >3), Joint Mathematics Meetings, Seattle, WA, January 5-8, 2016.
- Movie Moves for singular link cobordisms in 4-dimensional space, Special Session on Algebraic and Combinatorial Structures in Knot Theory, AMS Sectional Meeting, California State University, Fullerton, October 24-25, 2015.
- The Khovanov homology and spatial graphs, Special Session on Spatial Graphs, AMS Sectional Meeting, California State University, Fullerton, October 24-25, 2015.
- A Khovanov-type homology theory for singular knots and tangles, AMS Sectional Meeting, Loyola University Chicago, Chicago, October 3-4, 2015.
- Virtual singular braids and links, AMS Sectional Meeting, University of Nevada Las Vegas, Las Vegas, April 18-19, 2015.
- A formula for the Dubrovnik polynomial of rational knots, "Knots in Washington XL", George Washington University, Washington D.C., March 9-11, 2015.
- Moves for isotopic singular link cobordisms in 4-dimensional space, AMS Sectional Meeting, Georgetown University, March 7-8, 2015.
- Quantum invariants for singular links, 14th Chico Topology Conference, CSU Chico, May 2-4, 2014.
- On a categorification for the sl(n) polynomial (for n >3), Joint Mathematics Meetings, Baltimore, MD, January 15-18, 2014.
- Yang-Baxter state models and singular links, AMS Sectional Meeting, Washington University, St. Louis, MO, October 18-20, 2013.
- Invariants for spatial graphs, International Workshop on Spatial Graphs 2013, Tokyo, Japan, August 13-15, 2013.
- Foams and sl(n) tangle cohomology, Joint Mathematics Meetings, San Diego, CA, January 9-12, 2013.
- Foams and sl(n) tangle cohomology, "Knots in Washington XXXV", George Washington University, Washington D.C., December 7-9, 2012.
- On a cohomology theory for colored tangles, Workshop on Invariants in Low-Dimensional Topology and Knot Theory, Oberwolfach, Germany, June 3-9, 2012.
- An invariant for handlebody-tangles, AMS Sectional Meeting, University of Kansas, Lawrence, March 30-April 1, 2012.
- On a cohomology theory for colored tangles, AMS Sectional Meeting, University of South Florida, Tampa, March 10-11, 2012.
- 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.**

- 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; 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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