Zachary A. Kent

Zachary A. Kent
kent@mathcs.emory.edu
Phone: TBD

Department of Mathematics and Computer Science
Mathematics and Science Center, Suite W404
Emory University
Atlanta, GA 30322

United States (Registered Native American, Cherokee)

Number theory, modular forms, p-adic analysis, formal groups, elliptic curves, partitions.

7. Special L-values and periods of weakly holomorphic modular forms (with Kathrin Bringmann and Karl-Heinz Fricke), submitted for preparation.
6. Witt rings and matroids (with Thomas C. Craven), Proceedings of the American Mathematical Society, accepted for publication.
5. l-adic properties of the partition function (with Amanda Folsom and Ken Ono), Advances in Mathematics, 229 (2012), 1586-1609.
4. Periods of Eisenstein series and some applications, Proceedings of the American Mathematical Society, 139 (2011), 3789-3794.
3. Eichler-Shimura theory for mock modular forms (with Kathrin Bringmann, Pavel Guerzhoy and Ken Ono), Mathematische Annalen, accepted for publication.
2. p-adic coupling of mock modular forms and shadows (with Pavel Guerzhoy and Ken Ono), Proceedings of the National Academy of Sciences, USA, 107 no. 14 (2010), 6169-6174.
1. p-adic liftings of the supersingular j-invariants and j-zeros of certain Eisenstein series (with Pavel Guerzhoy), Journal of Number Theory, 129 no. 12 (2009), 3059-3068.

4. Galois Representations, University of Hawai‘i, Clay Mathematics Institute Annual Report, 2009.
3. Scratch detection on magnetic media using Voronoi diagrams, internal report, IBM/Hitachi, 2004.
2. Defect analysis and correction for magnetic media, internal report, IBM/Hitachi, 2004.
1. Application Script: a programming language for self-run stress test (SRST), internal report, IBM, 2003.

• Critical L-values and periods of weakly holomorphic modular forms, Number Theory Seminar, University of Florida, Gainesville, Florida, April 19, 2012.
• Critical L-values and periods of weakly holomorphic modular forms, Number Theory Seminar, Queen's University, Kingston, Ontario, Canada, March 16, 2012.
• Critical L-values and periods of weakly holomorphic modular forms, Krupp Symposium: Modular Forms, Mock Theta Functions, and Applications, Mathematisches Institut, Universität zu Köln, Köln, Deutschland, February 27, 2012.
• Critical L-values and periods of weakly holomorphic modular forms, Number theory seminar, Texas A & M University, College Station, Texas, February 8, 2012.
• L-series and L-values for weakly holomorphic modular forms, AMS 2011 Fall Southeastern Section Meeting, Winston-Salem, North Carolina, September 24, 2011.
• Hida's Control Theorem, Mathematisches Institut, Universität zu Köln, Köln, Deutschland, May 24, 2011.
• p-adic properties of the partition function, Conference on Modular Forms and Mock Modular Forms and their Applications in Arithmetic, Geometry, and Physics, International Centre for Theoretical Physics, Trieste, Italy, March 18, 2011.
• p-adic coupling of mock modular forms and their shadows, Number Theory / Arithmetic Geometry Seminar, University of Georgia, Athens, Georgia, February 23, 2011.
• Eichler-Shimura theory for mock modular forms, Number Theory and Algebraic Geometry seminar, Yale University, New Haven, Connecticut, November 16, 2010.
• Eichler-Shimura theory for mock modular forms, Number theory seminar, Texas A & M University, College Station, Texas, October 20, 2010.
• Eichler-Shimura theory for mock modular forms, Number theory seminar, University of South Carolina, Columbia, South Carolina, October 7, 2010.
• Eichler-Shimura theory for mock modular forms, Durham Days on Modular Forms, University of Durham, Durham, United Kingdom, August 30, 2010.
• Eichler-Shimura theory for mock modular forms, Number Theory Seminar, Emory University, Atlanta, Georgia, August 24, 2010.
• p-adic coupling of mock modular forms and shadows, Emory University, Atlanta, Georgia, May 18, 2010.
• Congruences for CM mock modular forms of integral weight: Inert primes and applications to AGM, International Conference: Mock theta functions and applications in combinatorics, algebraic geometry, and mathematical physics, Max Planck Institute for Mathematics, Bonn, Germany, May 25, 2009.
• Prespace matroids: a graphical odyssey (poster session), ARCS Honolulu Chapter / President of the University of Hawai‘i, Honolulu, Hawai‘i, September 26, 2008.
• Prespace matroids: a graphical odyssey (poster session), ARCS Honolulu Chapter, Honolulu, Hawai‘i, May 4, 2007.
• Prespace matroids: a graphical odyssey (general science audience), ARCS Honolulu Chapter, Honolulu, Hawai‘i, April 28, 2007.

• Critical L-values and periods of weakly holomorphic modular forms, SERMON 2012, Western Carolina University, Cullowhee, North Carolina, March 31, 2012.
• Mock modular forms and their shadows, Palmetto Number Theory Series (PANTS) XVII, Clemson University, Clemson, South Carolina, December 4, 2011.
• L-series and L-values for weakly holomorphic modular forms, Texas-Oklahoma Representations and Automorphic forms (TORA) I, University of North Texas, Denton, Texas, September 18, 2011.
• Hida's control theorem, SERMON 2011, Armstrong Atlantic State University, Savannah, Georgia, April 17, 2011.
• p-adic properties of the partition function, 25th Automorphic Forms Workshop, Oregon State University, Corvallis, Oregon, March 25, 2011.
• Eichler-Shimura theory for mock modular forms, Palmetto Number Theory Series (PANTS) XV, Clemson University, Clemson, South Carolina, February 20, 2011.
• p-adic coupling of mock modular forms and their shadows, Palmetto Number Theory Series (PANTS) XIV, University o f South Carolina, Columbia, South Carolina, December 5, 2010.
• p-adic lifting of roots of Eisenstein series, Palmetto Number Theory Series (PANTS) XIII, University of North Carolina at Greensboro, Greensboro, North Carolina, September 26, 2010.
• Eichler cohomology and harmonic Maass forms, Mock modular forms in combinatorics and arithmetic geometry, American Institute of Mathematics, Palo Alto, California, March 2010.
• CM values of weak Maass forms, Mock modular forms in combinatorics and arithmetic geometry, American Institute of Mathematics, Palo Alto, California, March 2010.
• Eichler cohomology, p-adic limits, and harmonic weak Maass forms, 23rd Annual Workshop on Automorphic Forms and Related Topics, Bucknell University, Lewisburg, Pennsylvania, March 10, 2009.
• Liftings of supersingular j-zeros, Hawai‘i workshop on the arithmetic of modular forms, University of Hawai‘i at Mānoa, Honolulu, Hawai‘i, May 22, 2008.

• SERMON 2012, Western Carolina University, Cullowhee, North Carolina, March 31-April 1, 2012.
• Hawaii Conference in Algebraic Number Theory, Arithmetic Geometry, and Modular Forms, Honolulu, Hawaii, March 6-8, 2012.
• AMS 2012 Spring Western Section Meeting, Special Session on Automorphic and Modular Forms, Honolulu, Hawaii, March 3-4, 2012.
• Krupp Symposium: Modular Forms, Mock Theta Functions, and Applications, Mathematisches Institut, Universität zu Köln, Köln, Deutschland, February 27 - March 1, 2012.
• Palmetto Number Theory Series (PANTS) XVII, Clemson University, Clemson, South Carolina, December 3-4, 2011.
• AMS 2011 Fall Southeastern Section Meeting, Special Session on Modular Forms, Elliptic Curves, and Related Topics, Winston-Salem, North Carolina, September 24-25, 2011.
• Texas-Oklahoma Representations and Automorphic forms (TORA) I, University of North Texas, Denton, Texas, September 17-18, 2011.
• Palmetto Number Theory Series (PANTS) XVI, Emory University, Atlanta, Georgia, September 10-11, 2011.
• SERMON 2011, Armstrong Atlantic State University, Savannah, Georgia, April 16-17, 2011.
• 25th Automorphic Forms Workshop, Oregon State University, Corvallis, Oregon, March 23-26, 2011.
• Conference on Modular Forms and Mock Modular Forms and their Applications in Arithmetic, Geometry, and Physics, International Centre for Theoretical Physics, Trieste, Italy, March 14-18, 2011.
• Palmetto Number Theory Series (PANTS) XV, Clemson University, Clemson, South Carolina, February 18-20, 2011.
• Athens-Atlanta Number Theory Seminar, Emory University, Atlanta, Georgia, February 1, 2011.
• The Number Theory of Partitions, Emory University, Atlanta, Georgia, January 21-23, 2011.
• Palmetto Number Theory Series (PANTS) XIV, University o f South Carolina, Columbia, South Carolina, December 4-5, 2010.
• Palmetto Number Theory Series (PANTS) XIII, University of North Carolina at Greensboro, Greensboro, North Carolina, September 25-26, 2010.
• Athens-Atlanta Number Theory Seminar, University of Georgia, Athens, Georgia, September 21, 2010.
• Durham Days on Modular Forms, University of Durham, Durham, United Kingdom, August 30 - September 3, 2010.
• 24th Automorphic Forms Workshop, University of Hawai‘i at Mānoa, Honolulu, Hawai‘i, March 22 - 26, 2010.
• Mock modular forms in combinatorics and arithmetic geometry, American Institute of Mathematics, Palo Alto, California, March 8 - 12, 2010.
• Clay Mathematics Institute Summer School 2009: Galois Representations, University of Hawai‘i at Mānoa, Honolulu, Hawai‘i, June 15 - July 10, 2009.
• International Conference: Mock theta functions and applications in combinatorics, algebraic geometry, and mathematical physics, Max Planck Institute for Mathematics, Bonn, Germany, May 25 - 29, 2009.
• 23rd Annual Workshop on Automorphic Forms and Related Topics, Bucknell University, Lewisburg, Pennsylvania, March 10 - 13, 2009.
• Hawai‘i workshop on the arithmetic of modular forms, University of Hawai‘i at Mānoa, Honolulu, Hawai‘i, May 21 - 24, 2008.
• Partitions, q-series, and modular forms workshop and conference, University of Florida, Gainesville, Florida, March 8 - 16, 2008.

• Organizer/Scientific Committee (with Xander Faber, Pavel Guerzhoy, Claude Levesque, and Michelle Manes), Hawaii Conference in Algebraic Number Theory, Arithmetic Geometry, and Modular Forms, Honolulu, Hawaii, March 6-8, 2012.
• Organizer (with Pavel Guerzhoy), AMS 2012 Spring Western Section Meeting, Special Session on Automorphic and Modular Forms, Honolulu, Hawaii, March 3-4, 2012.
• Organizer (with Ken Ono), Palmetto Number Theory Series (PANTS) XVI, Emory University, Atlanta, Georgia, September 2011.
• Organizer (with Susan Guppy and Ken Ono), The Number Theory of Partitions, Emory University, January 2011.
• Organizer (with Pavel Guerzhoy and Ken Ono), 24th Automorphic Forms Workshop, University of Hawai‘i at Mānoa, March 2010.
• Organizational support (local liaison, technical support), Clay Mathematics Institute Summer School 2009: Galois Representations, University of Hawai‘i at Mānoa, June - July 2009.
• Organizational support (local liaison, technical support), Hawai‘i workshop on the arithmetic of modular forms, University of Hawai‘i at Mānoa, May 2008.
• Supervised undergraduate research project, 2009 - 2010, Ranking of U.S. graduate programs in mathematics, Supervised and assisted Zachary Heilbron, an undergraduate student, who designed and wrote Python programs to collect and organize large amounts of data to objectively compare and rank graduate programs in mathematics within the U.S.
• Free Tutor (University of Hawai‘i), 2005 - 2010, Assisted high school, undergraduate, and graduate students in various classes ranging from high school algebra up to graduate level analysis. Intensively prepared graduate students in science disciplines (e.g. oceanography, engineering) for specialty exams on mathematics tailored to their fields of study.
• Open Source Programmer, Apple Computer, 2001, Created patches for several bugs in the system libraries for Mac OS X. Designed and developed URL processing code for use in the Core OS.

• Dean's Graduate Student Advisory Council, College of Natural Sciences, University of Hawai‘i at Mānoa, 2008 - 2010.
• Member of AMS, MAA, SIAM, 2005 - present.

• Graduate Student Excellence in Teaching Award, Department of Mathematics, University of Hawai‘i at Mānoa (2009), Amount: $100.
• Arts & Sciences Student Research Award, University of Hawai‘i at Mānoa (2009), Amount: $2,500.
• Dean's Graduate Student Travel Grant, College of Natural Sciences, University of Hawai‘i at Mānoa, (2008), Amount: $1,500.
• ARCS Scholar in Mathematics (2007), Amount: $10,000.
• Golden Key International Honor Society (2007 - 2010).
• Bank of America Certificate, Outstanding Student in Computer Science (1996).
• William Tam Scholarship, Outstanding Academic Achievement (1996).

• National Science Foundation REU
  • Instructor, Summer 2011, Emory University.
• Foundations of Mathematics (an introduction to proofs)
  • Professor, Fall 2011, Emory University (Math 250).
• Linear Algebra
  • Professor, Fall 2010, Spring/Fall 2011, Spring 2012, Emory University (Math 221).
• Differential Equations
  • Professor, Spring 2011, Emory University (Math 212).
• Linear Algebra & Differential Equations
  • Teaching Assistant, Spring 2009, University of Hawai‘i at Mānoa (Math 307).
• Accelerated Calculus II
  • Teaching Assistant, Fall 2009, Spring 2010, University of Hawai‘i at Mānoa (Math 252A).
• Calculus II
  • Instructor, Summer 2007, Summer 2008, University of Hawai‘i at Mānoa (Math 242).
  • Teaching Assistant, Fall 2007, Spring/Fall 2008, Spring/Fall 2009, University of Hawai‘i at Mānoa (Math 242).
• Calculus I
  • Instructor, Summer 2008, University of Hawai‘i at Mānoa (Math 241).
  • Teaching Assistant, Fall 2006, Spring 2007, University of Hawai‘i at Mānoa (Math 241).
• Precalculus
  • Teaching Assistant, Fall 2005, Spring 2006, University of Hawai‘i at Mānoa (Math 140).
• Survey of Mathmatics
  • Instructor, Summer 2007, University of Hawai‘i at Mānoa (Math 100).
  • Teaching Assistant, Spring 2010, University of Hawai‘i at Mānoa (Math 100).

• Emory University, Atlanta, Georgia
  Emory Fellow [Mentor: Ken Ono] (2010 - 2012).
• University of Hawai‘i at Mānoa, Honolulu, Hawai‘i
  Teaching Assistant (2005 - 2010).
• University of Hawai‘i at Mānoa, Honolulu, Hawai‘i
  Instructor (Summers 2007, 2008).
• IBM, San José, California
  Engineer/Scientist (2001 - 2005).
• University of Hawai‘i at Mānoa, Honolulu, Hawai‘i
  Computer Lab Supervisor (1997 - 2001).

• Various UNIX-type operating systems, MacOS, Windows.
• C, C++, Python, and about 40 other programming languages.