# Nath, Rishi

Associate Professor

Mathematics and Computer Science

Associate Professor

Mathematics and Computer Science

Phone: 718-262-2543

Office Location: AC-2C07B

rnath@york.cuny.edu

Office Hours | |
---|---|

Monday | 5:00-6:00pm |

Wednesday | 5:00-6:00pm |

## Education

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

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, 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 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.

, . : .