Potsdam-Clarkson REU in Mathematics

Papers published

• M. Burkhart, J. Foisy,
  "Enumerating spherical n-links,"
  Involve 11(2):195-206, 2018.
  

• J. Federman, J. Foisy, K. McNamara, E. Stark,
  "Enumerating spherical n-links," "Intrinsically triple-linked graphs in ℝP3,"
  Involve 10(1):1-20, 2017.
  

• E. Connelly, N. Grammel, M. Kraut, L. Serazo, C. Tamon,
  "Universality in Perfect State Transfer,"
  Linear Algebra and Its Applications 531:516-532, 2017.
  [arXiv]

• E. Ackelsberg, Z. Brehm, A. Chan, J. Mundinger, C. Tamon,
  "Quantum State Transfer in Coronas,"
  Electronic Journal of Combinatorics 24:2, P24, 2017.
  [link]

• E. Ackelsberg, Z. Brehm, A. Chan, J. Mundinger, C. Tamon,
  "Laplacian State Transfer in Coronas,"
  Linear Algebra and Its Applications 506:154-167, 2016.
  [link]

• R. Alvir, S. Dever, B. Lovitz, J. Myer, C. Tamon, Y. Xu, H. Zhan,
  "Perfect State Transfer in Laplacian Quantum Walk,"
  Journal of Algebraic Combinatorics 43:801-826, 2016. (A special issue dedicated to Chris Godsil.)
  [link]

• E. Fredette, D. Kubala, E. Nelson, K. Wells, H. Ellingsen Jr.,
  "Growth functions of finitely generated algebras,"
  Involve 8(1):71-74, 2015.
  [link]

• O. de la Cruz Vite, J. Foisy, C. Gibbons, A. Morse, C. Negron,
  "On weakly diameter-critical graphs,"
  Graph Theory Notes of New York LXVII, 67:1-16, 2014.

• S. Cameron, S. Fehrenbach, L. Granger, O. Hennigh, S. Shrestha, C. Tamon,
  "Universal State Transfer on Graphs,"
  Linear Algebra and Its Applications 455:115-142, 2014.
  [link]

• D. Mallory, A. Raz, C. Tamon, T. Zaslavsky,
  "Which Exterior Powers are Balanced?"
  Electronic Journal of Combinatorics, 20:2, P43, 2013.
  [link]

• J. Brown, C. Godsil, D. Mallory, A. Raz, C. Tamon,
  "Perfect State Transfer on Signed Graphs,"
  Quantum Information and Computation, 13(5&6):511-530, 2013.
  [pdf]

• Y. Duong, J. Foisy, K. Meehan, L. Merrill, L. Snyder,
  "Intrinsically linked signed graphs in projective space,"
  Discrete Mathematics, 312(12-13):2009-2022, 2012.
  [pdf]

• R. Bachman, E. Fredette, J. Fuller, M. Landry, M. Opperman, C. Tamon, A. Tollefson,
  "Perfect state transfer on quotient graphs,"
  Quantum Information and Computation, 12(3&4):293-313, 2012.
  [pdf]

• K. Averill, A. Johnston, R. Northrup, R. Silversmith, A. Luttman,
  "Boundaries of Weak Peak Points in Noncommutative Algebras of Lipschitz Functions,"
  Central European Journal of Mathematics, 10(2):646-655, 2012.
  [pdf]

• Y. Ge, B. Greenberg, O. Perez, C. Tamon,
  "Perfect state transfer, graph products and equitable partitions,"
  International Journal of Quantum Information, 9(3):823-842, 2011.
  [pdf]

• T. Nezhmetdinov,
  "Groups of Units of Finite Commutative Group Rings,"
  Communications in Algebra, 38(12):4669-4681, 2010.
  [link]

• 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.
  [pdf]

• J. Bustamante, J. Federman, J. Foisy, K. Kozai, K. Matthews, K. McNamara, E. Stark, K. Trickey,
  "Intrinsically linked graphs in projective space,"
  Algebraic and Geometric Topology, 9(3):1255-1274, 2009.
  [link]

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

• K. Mahdavi, G. Merton, L. Nguyen, T. Schedler, N. Smith,
  "Virtually Biautomatic Groups,"
  Communications in Algebra, 37(7):2267-2273, 2009.
  [link]

• A. DeCelles, J. Foisy, C. Versace, A. Wilson,
  "On graphs for which every planar immersion lifts to a knotted spatial embedding,"
  Involve, 1(2):145-158, 2008.
  [link]

• A. Allan, M. Dunne, H. Ellingsen, J. Jack, J. Lynd,
  "Classification of the Group of Units in the Gaussian Integers Modulo N,"
  Pi Mu Epsilon Journal, 12(9):513-519, 2008.
  [link]

• A. Best, M. Kliegl, S. Mead-Gluchacki, C. Tamon,
  "Mixing of Quantum Walk on Generalized Hypercubes,"
  International Journal of Quantum Information, 6(6):1135-1148, 2008.
  [pdf]

• K. Mahdavi, B. Nguyen, R. Ranalli, J. Sizemore, A. Stout, C. Swanson,
  "Finite C-Groups,"
  Global Journal of Pure and Applied Mathematics, 3(1):19-26, 2007.
  [link]

• G. Bowlin, P. Blain, J. Foisy, J. Hendricks, J. LaCombe,
  "Knotted Hamiltonian cycles in spatial embeddings of complete graphs,"
  New York Journal of Mathematics, 13:11-16, 2007.
  [link]

• G. Bowlin, P. Blain, T. Fleming, J. Foisy, J. Hendricks, J. LaCombe,
  "Some results on intrinsically knotted graphs,"
  Journal of Knot Theory and Its Ramifications, 16(6):749-760, 2007.
  [link]

• W. Adamczak, K. Andrew, L. Bergen, D. Ethier, P. Hernberg, J. Lin, C. Tamon,
  "Non-uniform mixing of quantum walk on cycles,"
  International Journal of Quantum Information, 5(6):781-793, 2007.
  [pdf]

• A. Brouwer, R. Davis, A. Larkin, D. Studenmund, C. Tucker,
  "Intrinsically S¹ 3-linked graphs and other aspects of S¹ embeddings,"
  Rose-Hulman Undergraduate Mathematics Journal, 8(2), 2007.
  [link]

• W. Carlson, A. Ford, E. Harris, J. Rosen, C. Tamon, K. Wrobel,
  "Universal Mixing of Quantum Walk on Graphs,"
  Quantum Information and Computation, 7(8):738-751, 2007.
  [pdf]

• P. Lo, S. Rajaram, D. Schepens, D. Sullivan, C. Tamon, J. Ward,
  "Mixing of Quantum Walk on Circulant Bunkbeds,"
  Quantum Information and Computation, 6(4&5), 370-381, 2006.
  [pdf]

• B. Madore, H. McDonough, C. Miller, D. Van Nort, A. Rogalski, J. Wood,
  "Structure theory for Carry Groups,"
  Pi Mu Epsilon Journal, 12(1):17-25, 2004.
  [link]

• G. Bowlin, J. Foisy,
  "Some new intrinsically 3- linked graphs,"
  Journal of Knot Theory and Its Ramifications, 13(8):1021-1027, 2004.
  [link]

• A. Dochtermann, S. Chan, J. Foisy, J. Hespen, T. Lalonde, Q. Looney, E. Kunz, K. Sharrow, N. Thomas,
  "Graphs with disjoint links in every spatial embedding,"
  Journal of Knot Theory and Its Ramifications, 13(6):737-748, 2004.
  [link]

• A. Ahmadi, R. Belk, C. Tamon, C. Wendler,
  "On Mixing in Continuous-time Quantum Walks on Some Circulant Graphs,"
  Quantum Information and Computation, 3(6) 611-618, 2003.
  [pdf]

• J. Foisy, G. Hruska, D. Leykekhman, D. Pinzon, B. Shay,
  "The shortest enclosure of two connected regions in a corner,"
  Rocky Mountain Journal of Mathematics, 31(2):437-482, 2001.
  [link]