Nath, Rishi

Curriculum Vitae
Nath, Rishi

Nath, Rishi

Associate Professor
Mathematics and Computer Science

Phone: 718-262-2543
Office Location: AC-2C07B

Office Hours  
Monday  5:00-6:00pm 
Wednesday  5:00-6:00pm 


Degree Institution Field Dates
PhD  University of Illinois  Mathematics  2006 
MA  Brandeis University  Mathematics  1999 
BA  University of Chicago  Mathematics  1996 
Dr. Nath first became interested in mathematics at the University of Chicago where he attended various courses on group theory and Lie algebras given by Professors Jon Alperin and George Glauberman. After completing a Masters degree at Brandeis University, he returned to Chicago where he completed his PhD in the representation theory of the symmetric and alternating groups under the direction of Professor Paul Fong at the University of Illinois. Dr. Nath has a longstanding interest in math education. He taught math at Bronzeville Alternative High School in the South Side of Chicago and with the Franklin Summer Program (Phillips Brooks House, Harvard University). Originally from the Boston area, he currently lives in Queens.

Areas of Expertise

Algebraic Combinatorics
Representations of Finite Groups
Partition Theory

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, 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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