Command, Control, and Interoperability Center for
      Advanced Data Analysis (CCICADA)
Rutgers University
96 Frelinghuysen Road
Piscataway, NJ 08854-8019
 
Office: CoRE Bldg., Rm. 407 (Busch Campus)
Email: bnaka [at] dimacs [dot] rutgers [dot] edu



I am currently a postdoctoral researcher at 
CCICADA/DIMACS, Rutgers University. My (academic-style) CV can be found here: CV.


Research Interests

My research interests include: Enumerative and algebraic combinatorics (especially permutation patterns), algorithms, experimental mathematics, graph theory, finite automata theory, operations research (resource allocation problems), data analysis, mathematical modeling.


Refereed Publications

Combinatorics:

  • Brian Nakamura and Elizabeth Yang. Competition graphs induced by permutations. 
    Submitted.
  • Svante Janson, Brian Nakamura, and Doron Zeilberger. On the Asymptotic Statistics of the Number of Occurrences of Multiple Permutation Patterns. 
    J. Comb. 6 (2015), 117-143.
  • Fredrik Johansson and Brian Nakamura. Using functional equations to enumerate 1324-avoiding permutations. 
    Adv. in Appl. Math. 56 (2014), 20-34.
  • Brian Nakamura. Approaches for enumerating permutations with a prescribed number of occurrences of patterns. 
    Pure Math. Appl. (PU.M.A.) 24(2) (2013), 179-194.
  • Brian Nakamura and Doron Zeilberger. Using Noonan-Zeilberger Functional Equations to Enumerate (in Polynomial Time!) Generalized Wilf Classes. 
    Adv. in Appl. Math. 50 (2013), 356-366.
  • Andrew Baxter, Brian Nakamura, and Doron Zeilberger. Automatic Generation of Theorems and Proofs on Enumerating Consecutive-Wilf Classes. 
    Advances in Combinatorics: Waterloo Workshop in Computer Algebra, W80, May 26-29, 2011 (edited by Ilias Kotsireas and Eugene Zima), 121-138.
  • Brian Nakamura. Computational Approaches to Consecutive Pattern Avoidance in Permutations. 
    Pure Math. Appl. (PU.M.A.) 22(2) (2011), 253-268.

Operations Research:

  • C. Nelson, P. Kantor, D. Egan, A. Matlin, B. Nakamura, B. Ricks, F. Roberts, M. Tobia, R. Whytlaw, and M. Young. “Experimental Designs for Testing Metal Detectors at a Large Sports Stadium.” 
    Submitted.
  • B. Nakamura, E. Boros, P. Kantor, C. McGinity, C. Nelson, M. Oster, B. Ricks, F. Roberts, W. Yao, P. Ball, C. Conrad, T. Rader, K. Hanson. "Optimal US Coast Guard Boat Allocations with Sharing."
    Proceedings of 2015 IIE Industrial and Systems Engineering Research Conference (ISERC2015), 2015. 
    * 2015 IIE ISERC Best Paper Award -- ISERC Homeland Security Track
  • B.C. Ricks, B. Nakamura, A. Almaz, R. DeMarco, C. Hui, P. Kantor, A. Matlin, C. Nelson, H. Powell, F. Roberts, and B. Thompson. “Modeling the impact of patron screening at an NFL stadium.” 
    Proceedings of 2014 IIE Industrial and Systems Engineering Research Conference (ISERC2014), 2014.
  • C. Nelson, P. Ball, E. Boros, C. Conrad, K. Hanson, J. Rubio-Herrero, P. Kantor, C. McGinity, B. Nakamura, T. Rader, B. Ricks, and F. Roberts. “ACCAM global optimization model for the USCG aviation air stations.” 
    Proceedings of 2014 IIE Industrial and Systems Engineering Research Conference (ISERC2014), 2014.

Past Teaching

MATH 454: Combinatorics (Summer 2012)
MATH 251: Multivariable Calculus (Fall 2011)
MATH 454: Combinatorics (Summer 2011)
MATH 152: Calculus II for Mathematical and Physical Sciences (Spring 2011)
MATH 151: Calculus I for Mathematical and Physical Sciences (Fall 2010)
MATH 152: Calculus II for Mathematical and Physical Sciences (Spring 2010) 
MATH 153: Intensive Calculus I (Fall 2009) 
MATH 136: Calculus II (Spring 2009) 
MATH 151: Calculus I for Mathematical and Physical Sciences (Fall 2008)


Professional Service

  • Co-organizer for DIMACS Conference on Challenges of Identifying Integer Sequences (honoring Neil Sloane’s 75th birthday and 50 years of the OEIS). (Oct. 2014)
  • Co-organizer for the Experimental Math Seminar. (2011-2013)
  • Referee for Advances in Applied Mathematics, Australasian Journal of Combinatorics, Discrete Applied Mathematics, Formal Power Series and Algebraic Combinatorics (FPSAC), Electronic Journal of Combinatorics, European Journal of Combinatorics, Industrial and Systems Engineering Research Conference (ISERC), Journal of Combinatorics.
  • Reviewer for Mathematical Reviews.
  • Grant reviewer for NSA Mathematical Sciences Grant Program.