Research

View my profile at MathSciNet or Google Scholar.

Partition identities:

D. Nandi, S. Kanade, M. C. Russell, A variant of IdentityFinder and some new identities of Rogers-Ramanujan-MacMahon type, accepted, Annals of Combinatorics.

S. Kanade, M. C. Russell, Staircases to analytic sum-sides for many new integer partition identities of Rogers-Ramanujan type, Electronic Journal of Combinatorics, Volume 24, Issue 4, 2015, pages 419-423. View the paper at Taylor & Francis Online (subscription required).

S. Kanade, K. Kursungoz, M. C. Russell, IdentityFinder and some new identities of Rogers-Ramanujan type, Experimental Mathematics, Volume 24, Issue 4, 2015, pages 419-423. See the page for this paper here. View the paper at Taylor & Francis Online (subscription required).

S. Kanade, M. C. Russell, IdentityFinder and some new identities of Rogers-Ramanujan type, Experimental Mathematics, Volume 24, Issue 4, 2015, pages 419-423. See the page for this paper here. View the paper at Taylor & Francis Online (subscription required).

S. Kanade, J. Lepowsky, M. C. Russell, A. V. Sills, Ghost series and a motivated proof of the Andrews-Bressoud identities, submitted.

B. Coulson, S. Kanade, J. Lepowsky, R. McRae, F. Qi, M. C. Russell and C. Sadowski, A motivated proof of the Göllnitz-Gordon-Andrews identities, accepted for publication, Ramanujan Journal.

M. C. Russell, C. Sadowski, and C. Takita, A motivated proof of overpartition Andrews-Bressoud identities and ghost series, in preparation.

Noncommutative algebra:

M. C. Russell, Noncommutative recursions and the Laurent phenomenon, Advances in Applied Mathematics, Volume 64, March 2015, pages 21-30. See the page for this paper here. View the paper at Science Direct (subscription required).

Quantum walks on graphs:

During the summer of 2009, I participated in an REU at SUNY Potsdam with Prof. Christino Tamon of Clarkson University. Our topic was perfect state transfer in quantum walks on graphs.

R.J. Angeles-Canul, R. Norton, M. Opperman, C. Paribello, M. Russell, C. Tamon, On quantum perfect state transfer in weighted join graphs, International Journal of Quantum Information 7(8):1429-1445, 2009.

R.J. Angeles-Canul, R. Norton, M. Opperman, C. Paribello, M. Russell, C. Tamon, Perfect state transfer, integral circulants, and join of graphs, Quantum Information and Computation 10(3&4):325-342, 2010.

Queueing theory:

During the summer of 2008, I participated in an REU at Gordon College with Prof. Michael Veatch and Prof. Jonathan Senning.

M. C. Russell, J. Fraser, S. Rizzo, M. H. Veatch, Comparing LP bounds for queueing networks, IEEE Transactions on Automatic Control, 54(11):2703-2707, 2009.

Knot theory:

During the summer of 2007, I performed research at Taylor University under the direction of Prof. Matt DeLong.

M. DeLong, M. C. Russell, J. Schrock, Colorability and determinants of T(m,n,r,s) twisted torus knots for n ≡ ± 1 (mod m), to appear, Involve.

Particle physics:

During the spring of 2010, I worked on a theoretical high-energy particle physics project with Prof. Ken Kiers.

Ken Kiers, Tal Knighton, David London, Matthew Russell, Alejandro Szynkman, Kari Webster, Using t -> b \bar{b} c to Search for New Physics, submitted.

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