If you are interested in applying, please visit the application page and find out about the other groups:

GRAPH/KNOT THEORY (with Joel Foisy)
ALGEBRA (with Derek Habermas)
ALGEBRAIC GEOMETRY (with Jason Howald)

APPLIED GRAPH THEORY

Ana Best, Markus Kliegl, Shawn Mead-Gluchacki, C. Tamon, "Mixing of Quantum Walk on Generalized Hypercubes," quant-ph/0808238.

Left to right: Blair Madore (SUNY Potsdam), Harold Ellingsen (SUNY Potsdam), Diana Atanasova (Suffold University), Dillon Ethier (Clarkson), Erin Zeiders (SUNY Potsdam), Kenji Ozai (Harvey Mudd), Jennifer Lin (Princeton), Jason Charleson (SUNY Potsdam), Kirsten Trickey (Clarkson), Jason Bustamante (Montana Tech), Maria Williams (University of Tennessee), Timur Nezhmetdinov (Lehigh University), Sean McQueen (Pacific Lutheran University), Gretchen Tessmer (SUNY Potsdam), Christino Tamon (Clarkson), Leon Bergen (Swarthmore), Kevin Matthews (SUNY Potsdam), Joel Foisy (SUNY Potsdam).

Left to right: Leon Bergen (Swarthmore), Jennifer Lin (Princeton), Christino Tamon (Clarkson), Dillon Ethier (Clarkson). W. Adamczak, K. Andrew, L. Bergen, D. Ethier, P. Hernberg, J. Lin, and C. Tamon, "Non-uniform mixing of quantum walk on cycles," International Journal of Quantum Information 5(6):781-793, 2007. [pdf] Note: this work is a combination of REUs 2003 and 2007.

Left to right: back row: Cherith Tucker (Southern Nazarene University), Andrew Brouwer (SUNY Potsdam), Julian Rosen (University of Oklahoma), Tyle Cook (SUNY Potsdam), Tim Pollio (Princeton University), Daniel Studenmund (Haverford College), Zach Riel (Kent State), middle row: Abel Larkin (SUNY Potsdam), Rachel Davis (LeMoyne College), Allison Ford (Mary Baldwin College), Erica Miller (St. Edward's University), Blair Madore (SUNY Potsdam), Joel Foisy (SUNY Potsdam), Tino Tamon (Clarkson), sitting: Katie Wrobel (SUNY Potsdam), Annaliese Spaeth (Xavier University), Beth Harris (SUNY Potsdam), Will Carlson (Kansas State University).

Left to right: Christino Tamon (Clarkson), William Carlson (Kansas State University), Kathleen Wrobel (SUNY Potsdam), Julian Rosen (University of Oklahoma), Allison Ford (Mary Baldwin College); seated: Elizabeth Harris (SUNY Potsdam). 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]

Left to right, back row: Christino Tamon (Clarkson), Jeffrey Ward (Clarkson), Peter Lo (St. Mary's College), Benjamin Wang (SUNY Binghamton), Kazem Mahdavi (SUNY Potsdam), Siddharth Rajaram (Middlebury College), Sara Rezvi (University of Chicago), James Sizemore (UC Berkeley), Alice Wilson (SUNY Potsdam), Thomas Reilly (Union College), Christopher Cicotta (Clarkson), Daniel Sullivan (Swarthmore), front row: Joel Foisy (SUNY Potsdam), Brian Nguyen (UC San Diego), Andy Stout (Yale), Diana Schepens (Houghton College).

Left to right: Christino Tamon (Clarkson University), Siddharth Rajaram (Middlebury College), Jeffrey Ward (Clarkson University), Peter Lo (St. Mary's College), Daniel Sullivan (Swarthmore College), Diana Schepens (Houghton College). P. Lo, S. Rajaram, D. Schepens, D. Sullivan, C. Tamon, J. Ward, "Mixing of Quantum Walk on Circulant Bunkbeds," Quantum Information and Computation 6 (2006), 370-381. [pdf] P. Lo, S. Rajaram, D. Schepens, D. Sullivan, J. Ward, "Quantum Walks on Circulant Bunkbeds," poster prize, Undergraduate Student Poster Session at the Joint Mathematical Meetings of the AMS/MAA, San Antonio, Texas, January 2006. See more information at this MAA site; Jeff Ward was our poster presenter (replacing Sid Rajaram).

Left to right: Joel Foisy (SUNY Potsdam), Kazem Mahdavi (SUNY Potsdam), Christino Tamon (Clarkson), Chad Versace (University of Southern Alabama), Jonathan Chaika (University of Iowa), John Basias (SUNY Binghamton), Colleen O'Brien (SUNY Potsdam), Jessica Etheredge (University of Southern Alabama), Fedor Labounko (Simon's Rock College), Amy DeCelles (University of Chicago), Andrew Wells (Hope College), Alice Wilson (SUNY Potsdam), Alex Eustis (Harvey Mudd College), Ashley Kent (Pomona College), Harold Ellingsen (SUNY Potsdam), Jesse Clark-Stone (SUNY Potsdam), Abbas Alhakim (Clarkson).

Left to right: Jacob McMillen (SUNY Fredonia), Jesse Clark-Stone (SUNY Potsdam), Jessica Etheredge (University of Southern Alabama), Christino Tamon (Clarkson University). J. Clark-Stone, J. Etheredge, J. McMillen, C. Tamon, "On the Spectral Types of Circulants," draft.

Participants (left to right): John Jack (SUNY Potsdam), Colleen O'Brien (SUNY Potsdam), Laura Person (SUNY Potsdam, knot), Michael Dunne (SUNY Potsdam), Harold Ellingsen (SUNY Potsdam, algebra), Diane Vavarichek (Beloit College), Rustam Salari (Columbia University), Kazem Mahdavi (SUNY Potsdam, group theory), Adam Allan (Clarkson University), Thatcher Lyman (Oberlin College), Matthew Rathbun (UC Berkeley), Justin Lynd (Marshall University), Jessica Cuomo (SUNY Binghamton), Marisa Belk (SUNY Binghamton), Garry Bowlin (Clarkson University), Paul Blain (Swarthmore College), Jason LaCombe (SUNY Potsdam), Kevin Andrew (Harvey Mudd College), Joel Foisy (SUNY Potsdam, knot/topology), Christino Tamon (Clarkson University, graph theory), Peter Hernberg (SUNY Potsdam), William Adamczak (SUNY Albany), Jacob Hendricks (University of Arkansas-Fayetteville), Eileen Hlavka (Reed College).

Left to right: Kevin Andrew (Harvey Mudd College), William Adamczak (SUNY Albany), Peter Hernberg (SUNY Potsdam), Christino Tamon (Clarkson University). W. Adamczak, K. Andrew, P. Hernberg, C. Tamon, "A note on graphs resistant to quantum uniform mixing," poster, 7th Workshop on Quantum Information Processing, Waterloo, Canada, January 2004. [preprint: quant-ph/0308073] Citations in: N. Konno, "Continuous-time quantum walk on the line," Physical Review E 72 (2005), 026113, (preprint: quant-ph/0408140), and in N. Inui, K. Kasahara, Y. Konishi, N. Konno, "Temporal fluctuations of continuous-time quantum random walks on circles" (preprint: quant-ph/0402062).

Front row: Kazem Mahdavi (SUNY Potsdam, group theory), Michael Tsiang (UC Santa Cruz), Ryan Belk (SUNY Binghamton), unknown, Garry Bowlin (Clarkson University), Michael Dunne (SUNY Potsdam); Amir Ahmadi (Clarkson University), Grant Clifford (Harvey Mudd College), Eman Kunz (SUNY Potsdam), Joel Foisy (SUNY Potsdam, knot/topology). Back row: Christino Tamon (Clarkson University, graph theory), Lorne Fairbairn III (SUNY Potsdam), Avi Silterra (Carnegie Mellon University), Mihai Tohaneanu (Dartmouth College), Jodi DeNinno (SUNY Potsdam), Margrethe Flanders (Will & Smith College), Brandy Guntel (Indiana University), Carolyn Wendler (Kenyon College), Lisa Smith (Clarkson University), Laura Person (SUNY Potsdam, knot), Blair Madore (SUNY Potsdam, ergodic/algebra), Quincy Loney (SUNY Potsdam).

Left to right: Christino Tamon (Clarkson University), Ryan Belk (SUNY Binghamton), Amir Ahmadi (Clarkson University), Carolyn Wendler (Kenyon College). A. Ahmadi, R. Belk, C. Tamon, C. Wendler, "On Mixing in Continuous-time Quantum Walks on Some Circulant Graphs," Quantum Information and Computation 3 (2003), 611-618. [pdf] A conjecture from our work above was settled in H. Gerhardt and J. Watrous, "Continuous-time quantum walks on the symmetric group," Proc. 7th Int. Workshop on Randomization and Approximation Techniques in Computer Science, Lecture Notes in Computer Science 2764, Springer-Verlag, 290-301 (2003). Citations in: V. Kendon, "Quantum Walks on General Graphs," International Journal of Quantum Information 4 (2006), 791-805 [quant-ph/0306140]; N. Saxena, S. Severini, I. Shparlinski, "Parameters of integral circulant graphs and periodic quantum dynamics," International Journal of Quantum Information 5 (2007), 417-430 [quant-ph/0703236].

Extreme back row: James Worthington (SUNY Binghamton), Ryan Belk (SUNY Binghamton), Alexander Rogalski (Marlboro College). Standing: Christino Tamon (Clarkson University, graph theory), Eli Drake (SUNY Potsdam), Biman Das (SUNY Potsdam, physics), unknown, Amarda Shehu (Clarkson University), Michael Slawinski (UCLA), April Siegler (SUNY Potsdam), David Lindsay (University of Utah), Hester Graves (Wellesley College), Catherine Vanderwaart (Swarthmore College), Sarah Good (University of Washington), Joshua Wood (SUNY Potsdam), Douglas VanNort (SUNY Potsdam), Blair Madore (SUNY Potsdam, algebra/ergodic theory), Joel Foisy (SUNY Potsdam, knot/topology). Sitting: Garry Bowlin (Clarkson University), Kazem Mahdavi (SUNY Potsdam, group theory), Matthew Day (University of Texas at Austin), Heather McDonough (Muhlenberg College), Barbara Chervenka (University of Houston).

Left to right: Amarda Shehu (Clarkson University), Hester Graves (Wellesley College), Sarah Good (University of Washington), Matthew Day (University of Texas at Austin), Catherine Vanderwaart (Swarthmore College), Christino Tamon (Clarkson University). M. Day, S. Good, H. Graves, A. Shehu, C. Vanderwaart, "On Totally Shattered and Hyperuniversal Graphs," poster prize, Undergraduate Student Poster Session at the AMS-MAA Joint Mathematics meeting, January 2002, San Diego, California. Manuscript: [pdf].

Standing: Heather O'Brien (Lyons Central School), Tonia Rust (Brushton-Moira Jr-Sr High School), Quincy Loney (SUNY Potsdam), Douglas VanNort (SUNY Potsdam), Anton Dochtermann (UC Berkeley), Jennifer Robinson (SUNY Potsdam), Wesley Cramer (SUNY Potsdam), Heather Politi (Virginia Tech), Trent Lalonde (Clarkson University), Steve Chan (University of Chicago), Travis Schedler (Harvard University), Matthew Dalton (University of Utah), Laurel Paget-Seekins (Oberlin College). Sitting: Christino Tamon (Clarkson University, graph theory), Joel Foisy (SUNY Potsdam, knot/topology), Kazem Mahdavi (SUNY Potsdam, group theory), David Powers (Clarkson University, graph theory), Brennen White (SUNY Binghamton).

Left to right: Brennen White (SUNY Binghamton), Matthew Dalton (University of Utah), Laurel Paget-Seekins (Oberlin College), Douglas VanNort (SUNY Potsdam), Christino Tamon (Clarkson University). Manuscript: M. Dalton, L. Paget-Seekins, C. Tamon, D. VanNort, and B. White, "Total Shatterings of Graphs," [pdf].