College of Science and Mathematics
69 achievements

69 achievements

Caprau, Carmen Livia
Caprau, C.  (2015). Movie moves for singular link cobordisms in 4-dimensional space.  World Scientific. 21.
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Caprau, C.  (2015). Movie Moves for singular link cobordisms in 4-dimensional space. Presented at AMS Sectional Meeting, California State University, Fullerton .
Caprau, C.  (2015). The Khovanov homology and spatial graphs. Presented at AMS Sectional Meeting, California State University, Fullerton.
Caprau, C.  (2015). A Khovanov-type homology theory for singular knots and tangles. Presented at AMS Sectional Meeting, Loyola University, Chicago.
Caprau, C.  (2015). Moves for isotopic singular link cobordisms in 4-dimensional space. Presented at AMS Sectional Meeting, Georgetown University, Washington D.C.
Caprau, C.  (2015). Fresno State Tensor Women Scholars. Presented at MAA Poster Session-Mathematical Outreach Programs, Joint Mathematics Meetings, San Antonio.
Caprau, C., Pena , A., & McGahan, S.  (2015). Virtual singular braids and links.  Manuscripta Mathematica.
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Caprau, C., & Urabe, K.  (2015). A formula for the Dubrovnik polynomial of rational knots.  Publicacions Matematiques.
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Caprau, C.  (2014). Rational tangles and continued fractions. Presented at Fresno State Mathematics REU, Fresno State University .
Caprau, C.  (2014). Quantum invariants for singular links. Presented at 14th Chico Topology Conference, CSU Chico.
Caprau, C.  (2014). On a categorification for the sl(n) polynomial (for n >3). Presented at Joint Mathematics Meetings, Baltimore, MD.
Caprau, C.  (2014). The Kauffman bracket for singular links. Presented at Department of Mathematics Seminar Series, Fresno State.
Caprau, C.  (2014). Quantum invariants for knot-like objects. Presented at Department of Mathematics Seminar Series, Fresno State.
Caprau, C., Chichester, A., & Chu, P.  (2014). Three approaches to a bracket polynomial for singular links.  Involve-A Journal of Mathematics.
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Caprau, C., Heywood, D., & Ibarra, D.  (2014). On a state model for the SO(2n) Kauffman polynomial.  Involve-A Journal of Mathematics. 7(No. 4), 547-563.
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Caprau, C., & Smith, J.  (2014). The Singular Temperley-Lieb Category.  ISRN Geometry. 1-9.
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Caprau, C., & Tipton, J.  (2014). The Kauffman polynomial and trivalent graphs.  Kyungpook Mathematical Journal.
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Caprau, C.  (2013). The sl(2) foam cohomology via a TQFT.  New York Journal of Mathematics. 61-90.
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Caprau, C.  (2013). Twin TQFTs and Frobenius Algebras.  Journal of Mathematics. 1-25.
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Caprau, C.  (2013). Yang-Baxter state models and singular links. Presented at AMS Sectional Meeting, Washington University, St. Louis, MO.
Caprau, C.  (2013). Invariants for spatial graphs. Presented at 2013 International Workshop on Spatial Graphs, Tokyo Women’s Christian University, Tokyo, Japan.
Caprau, C.  (2013). Foams and sl(n) tangle cohomology. Presented at Joint Mathematics Meetings, San Diego, CA.
Caprau, C.  (2013). The Kauffman bracket via a solution to the Yang-Baxter equation. Presented at Department of Mathematics Seminar Series.
Caprau, C.  (2013). Knot-theoretic interactions and matrix algebra. Presented at Department of Mathematics Seminar Series, Fresno State.
Caprau, C., Kuneli, M., & Urabe, K.  (2013). Celebration of Women in Mathematics. Presented at Mathematics Colloquium, Fresno State.
Caprau, C.  (2012). On the quantum filtration of the universal sl(2) foam cohomology.  Journal of Knot Theory and Its Ramifications (JKTR). 21(03), 1250023.
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Caprau, C.  (2012). Introduction to Knot Theory. Presented at Mathematics REU, Fresno State.
Caprau, C.  (2012). An invariant for handlebody-tangles. Presented at AMS Sectional Meeting, University of Kansas, Lawrence, KS.
Caprau, C.  (2012). On a cohomology theory for colored tangles. Presented at AMS Sectional Meeting, University of South Florida, Tampa, FL.
Caprau, C.  (2012). An invariant for handlebody-tangles: Part II. Presented at Department of Mathematics Seminar Series, Fresno State.
Caprau, C.  (2012). An invariant for handlebody-tangles: Part I. Presented at Department of Mathematics Seminar Series, Fresno State.
Caprau, C.  (2011). Trivalent graphs and the Kauffman polynomial. Presented at “Knots in Washington XXXII”, George Washington University, Washington D.C.
Caprau, C.  (2011). A polynomial invariant of 3-valent graphs embedded in R^3. Presented at AMS Sectional Meeting, University of Iowa, Iowa City, IA.
Caprau, C.  (2011). Searching for invariants for graphs. Presented at Department of Mathematics Seminar Series, Fresno State.
Caprau, C.  (2011). A model for the Kauffman polynomial. Presented at Department of Mathematics Seminar Series, Fresno State.
Caprau, C.  (2010). Sl(n) link homology. Presented at AMS Sectional Meeting, University of California Los Angeles.
Caprau, C.  (2010). On a categorification of the colored Jones polynomial. Presented at “KNOTS in Poland III”, International Conference on Knot Theory and its Ramifications, Stefan Banach International Mathematical Center, Warsaw, Poland.
Caprau, C.  (2010). Link cohomology and extended TQFTs. Presented at AMS Sectional Meeting, New Jersey Institute of Technology, Newark, NJ.
Caprau, C.  (2010). The universal sl(2) foam cohomoloy. Presented at Connections for Women: Homology Theories of Knots and Links, Mathematical Sciences Research Institute (MSRI), Berkeley.
Caprau, C.  (2010). Universal Khovanov-Rozansky sl(2) cohomology.  Journal of Knot Theory and its Ramifications. 19(6), 739-761.
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Caprau, C.  (2009). On the sl(2) foam cohomology computations.  Journal of Knot Theory and Its Ramifications. 18(9), 1313 -1328.
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Caprau, C.  (2009). The universal sl ( 2 ) cohomology via webs and foams.  Topology and its Applications. 156(9), 1684-1702.
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Caprau, C.  (2009). The universal sl(2) foam cohomology for links via extended TQFTs. Presented at AMS Sectional Meeting, UC Riverside, Riverside, CA.
Caprau, C.  (2009). On the filtered sl(2) foam cohomology for links. Presented at AMS Sectional Meeting, Florida Atlantic University, Boca Raton, FL.
Caprau, C.  (2009). On the universal sl(2) foam cohomology. Presented at “Claremont Topology Seminar”, Claremont Colleges, Claremont.
Caprau, C.  (2009). The universal sl(2) link homology: Part II. Presented at Department of Mathematics Seminar Series, Fresno State.
Caprau, C.  (2009). The universal sl(2) link homology: Part I. Presented at Department of Mathematics Seminar Series, Fresno State.
Caprau, C.  (2008). TQFTs defined on singular 2-cobordisms. Presented at 8th Annual Red Raider Mini-Symposium: The Topology and Geometry of Physics Conference, Texas Tech University, Lubbock, Texas.
Caprau, C.  (2008). The universal sl(2)-link cohomology via webs and foams. Presented at AMS Sectional Meeting, Claremont McKenna College, Claremont.
Caprau, C.  (2008). Link homologies via webs and foams. Presented at 2 lectures and 2 seminar presentations) University of Iowa, University of Iowa, Iowa City.
Caprau, C.  (2008). On the Khovanov-Rozansky cohomology. Presented at AMS Sectional Meeting, Louisiana State University, Baton Rouge.
Caprau, C.  (2008). Khovanov homology. Presented at Department of Mathematics Seminar Series, Fresno State.
Caprau, C.  (2008). sl(2) tangle homology with a parameter and singular cobordisms.  Algebraic and Geometric Topology. 729-756.
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Caprau, C.  (2007). On a generalized version of the Khovanov-Rozansky Homology for n = 2. Presented at Workshop on Knots and Quantum Computing, University of Texas at Dallas.
Caprau, C.  (2007). On the universal sl(2)-link cohomology. Presented at “Cascade Topology Seminar”, Boise State University.
Caprau, C.  (2007). An sl(2) tangle homology and seamed cobordisms. Presented at AMS Sectional Meeting, Miami University, Oxford, Ohio.
Caprau, C.  (2007). Categorification and Topological Quantum Field Theory: Part II. Presented at Department of Mathematics Seminar Series, Fresno State.
Caprau, C.  (2007). Categorification and Topological Quantum Field Theory: Part I. Presented at Department of Mathematics Seminar Series, Fresno State.
Caprau, C.  (2006). An sl(2) tangle homology for dotted, seamed cobordisms. Presented at CMS, Toronto.
Caprau, C.  (2006). An sl(2) tangle homology for seamed cobordisms with polynomial coefficients. Presented at Knots in Washington, George Washington University, Washington D.C.
Caprau, C.  (2006). Khovanov homology for tangles and cobordisms. Presented at Low Dimensional Topology Seminar, University of Iowa.
Caprau, C.  (2006). The Alexander polynomial. Presented at Graduate And Undergraduate Student Seminar (GAUSS), University of Iowa.
Caprau, C.  (2006). Triply graded link homology. Presented at Topology Seminar, University of Iowa.
Caprau, C.  (2005). Introduction to Khovanov-Rozansky homology, Presented at Workshop on Khovanov and Hochschild homology, University of Iowa.
Caprau, C.  (2005). Introduction to Macaulay 2. Presented at Low Dimensional Topology Seminar, University of Iowa.
Caprau, C.  (2004). The Alexander polynomial and its first form. Presented at Topology Seminar, University of Iowa.
Caprau, C., Rendi, M., Mithut, I., & Popescu, D.  (1999). Colectie de probleme.  Matematici speciale pentru ingineri. Romanian: The “Politehnica’’ Publishing House.
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Găvruţa, P., Hossu, M., Popescu, D., & Căprău, C.  (1995). On the stability of mappings and an answer to a problem of TH.M. Rassias.  Ann Math Blaise Pascal.
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Caprau, C., Okano, T., & Orton, D.  Singular links and Yang-Baxter state models.  Rocky Mountain Journal of Mathematics.
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