Mathematics and Computer Science
Office Location: AC-2C07B
Degree Institution Field Dates PhD University of Illinois Mathematics 2006 MA Brandeis University Mathematics 1999 BA University of Chicago Mathematics 1996
Areas of Expertise
- Algebraic Combinatorics
Representations of Finite Groups
Books in Field Of Expertise
R. Nath, S. Garfunkel (Co-editors). Geometry, Games, Graphs and Education. Boston: COMAP, Inc., November 8th, 2008. .
Articles in Field Of Expertise
R. Nath. "On the diagonal hooks of symmetric partitions." To Be Submitted. : 20 pages.
R. Nath with C. Hanusa. "The number of self-conjugate partitions." Journal of Number Theory. 133, no. 2 2013: 751-768.
R. Nath with J.B. Gramain. "On core and bar-core partitions." Ramanujan Journal. 27, no. 2 2012: 229-233.
R. Nath with W. Keith. "Partitions with prescribed hooksets." Journal of Combinatorics and Number Theory. 3, no. 1 2011: 39-50.
R. Nath. "On the Navarro conjecture for the A(n), p=2." Journal of Algebra and its Applications. 8, Issue 6 December 2009: 837-844.
R. Nath. "The Isaacs-Navarro conjecture for the alternating groups." Journal of Algebra. 321, Issue 6 March 15, 2009: 1632-1642.
R. Nath. "On the s-core of a t-core partition." Integers: Electronic Journal of Combinatorial Number Theory. #A28 June 16, 2008: 1-5.
Presented Papers, Lectures, and Exhibitions and Performances
" Combinatorics and the Navarro-Willems conjecture " November 19th, 2010: Algebra Seminar, CUNY Graduate Seminar (invited).
" Combinatorics arising from the Navarro-Willems conjecture " October 2nd, 2010: Special Session on Lie Algebras and Representation Theory, American Mathematical Society (AMS) Fall Eastern Sectional Meeting, Syracuse University (invited).
" Recovering diagonal hooks of self-conjugate partitions " July 2nd, 2010: Algebra Seminar, University of Copenhagen (invited).
" Welter's game and Young diagrams " May 26th, 2010: Combinatorial and Additive Number Theory (CANT) 2010 Conference, CUNY Graduate Center (invited).
" Refinements of the McKay conjecture in the case of the symmetric and alternating groups " April 23rd, 2010: Representation Theory Seminar, CUNY Graduate Center (invited).
" On hook-lengths of self-conjugate partitions " November 4th, 2009: Combinatorics Seminar, Massachusetts Institute of Technology (MIT) (invited)..
" p-core partitions and the symmetric group: Recent Results " October 15th, 2009: Integers Conference, University of West Georgia (invited)..
" Some combinatorial properties of 3-cores " May 29th, 2009: CANT 2009, CUNY Graduate Center (invited)..
" On diagonal hooks of symmetric partitions " December 7th, 2008: Combinatory Analysis 2008, Penn State University (invited).
" Recent results on partitions and hooks using the abacus " October 29, 2008: Department of Mathematical Sciences Seminar, Montclair State University, Montclair, New Jersey (invited)..
" Results on p-cores using the abacus " May 22nd, 2008: CANT 2008, CUNY Graduate Center (invited).
" Recent developments in Algebra " January 28th, 2008: Department Seminar, University of the West Indies (UWI)-St. Augustine, Trinidad and Tobago (invited).
" Recent Refinements of the Mckay conjecture " January 30th, 2007: Society of Mathematicians Seminar, Stevens Institute of Technology (invited).
Professional Honors, Prizes, Fellowships
Outstanding Student Advocate Award, CUNY Honors Opportunities Conference: March 2012.
Ecole Polytechnic Federale Lausanne (EPFL), Travel Award $500.00, Jacques Thevenaz Conference, http://grt.epfl.ch/: June 22nd - June 25th, 2010.
Homological Methods in Representation Theory, Mathematical Sciences Research Institute (MSRI), Travel Award $1000.00: March 31st - April 4th, 2008.
PSC_CUNY TRAD 44-576, Self-Conjugate Partitions: New and Existing Results. July 1st, 2013 - June 1st, 2014: $2933.00.
PSC-CUNY TRAD 43-449, Self Conjugate partitions and the representation theory. July 1st, 2012 - June 31st, 2013: $1300.00.
PSC-CUNY TRAD 42-615, Recent results on simultaneous core partitions. July 1st, 2011 - June 31st, 2012: $3428.00.
PSC-CUNY REG-41, Refinements of the McKay conjecture for the covering groups of the symmetric and alternating groups (PI). July 1st, 2010 - June 31st, 2011: $3325.00.
PSC-CUNY REG-40, A conjecture of Turull in the alternating groups (PI). July 1st, 2009 - June 31st, 2010: $2660.00.
PSC-CUNY REG-39, Navarro's conjecture for the alternating groups (PI). July 1st, 2008 - June 31st, 2008: $3525.00.
Mathematics Association of America (MAA), Tensor Scholars (Co-PI with Dr. Lidia Gonzalez). September 1st, 2010 - August 31st, 2011: $6000.00.
Mathematics Association of America (MAA), Tensor Scholars (Co-PI with Dr. Lidia Gonzalez). September 1st, 2009 - August 31st, 2010: $6000.00.
Title III--Center for Teaching and Learning (CETL), York College, Shifting the Center (PI). September 1st, 2009 - August 31st, 2010: $3000.00.
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