Nath, Rishi

Nath, Rishi
Director, Office of Undergraduate Research
Assistant Professor
Math & Computer Science

Phone: 718-262-2543
Office Location: AC-2C07B
rnath@york.cuny.edu

Education:
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 s-core of a t-core partition." Integers: Electronic Journal of Combinatorial Number Theory. #A28 June 16, 2008: 1-5.

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 Navarro conjecture for the A(n), p=2." Journal of Algebra and its Applications. 8, Issue 6 December 2009: 837-844.

R. Nath. "A note on the Navarro conjecture for the principal block of the alternating groups with abelian defect." JP Journal of Algebra, Number Theory and Applications. July 16, 2010: 6 pages.

R. Nath with W. Keith. "Partitions with prescribed hooksets." Under Review. November 13th, 2010: 12 pages.

R. Nath with J.B. Gramain. "On core and bar-core partitions." Under Review. November 14th, 2010: 5 pages.

R. Nath. "On the diagonal hooks of symmetric partitions." To Be Submitted. : 20 pages.

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:

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.

Grants-In-Aid:

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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Nath, Rishi
 

Nath, Rishi
Assistant Professor
Math & Computer Science