| Home | Teaching | Research | CV |
Publications and Preprints |
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Xander Faber, Benjamin Hutz, Patrick Ingram, Rafe Jones, Michelle Manes, Thomas J. Tucker, and Michael E. Zieve, "Uniform Bounds on Pre-Images Under Quadratic Polynomials" |
Mathematical Research Letters 16 (2009), no. 1, 87-101. |
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| Benjamin Hutz, "Rational periodic points for degree two polynomial morphisms on projective space" | forthcoming in Acta Arithmetica - arXiv:0811.3225 | ||||
Benjamin Hutz, "Good Reduction of Periodic Points on Projecctive Varieties" |
forthcoming in Illinois Journal of Mathematics- arXiv:0801.3645 |
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| "Pre-images of the Origin: On the Number of Rational Iterated Pre-images of the Origin Under Quadratic Dynamical Systems" | submitted - arXiv:0810.1715 | ||||
Benjamin Hutz, "Dynatomic Cycles for Morphisms of Projective Varieties" |
submitted - arXiv:0801.3643 |
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Benjamin Hutz, "A Computational Investigation of Wehler K3 Surfaces" |
submitted - arXiv:0801.3648 Pari/gp script - ordersearch.gp |
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| Benjamin Hutz, Patrick Ingram, "Numerical evidence for a conjecture of Poonen" | in preparation |
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Conferences |
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| Bellairs Workshop: Moduli Spaces and the Arithmetic of Dynamical Systems, May 2010 | Invited |
| AMS/MAA Joint Meeting, January 2010 | Speaker Special Session: Arithmetic and Nonarchimedean Dynamics |
| Maine/Quebec Number Theory Conference October 2009 | Speaker - slides |
| AMS Central Section Meeting at UIUC, March 2009 | Speaker - slides Special Session on the Interface Between Number Theory and Dynamical Systems |
Banff Internation Research Station: Arithmetic of K3 Surfaces |
Invited |
American Institute of Mathetmatics: Uniform Boundedness Conjecture 1/14-1/18/2008 |
Invited |
Arizona Winter School 2007: p-adic Geometry |
Berkovic Space project (with Matt Baker) |
MAA Northeastern Sectional Meeting Spring 2006 |
Speaker |
Arizona Winter School 2006: Computational and Algorithmic Aspects of Algebra and Arithmetic |
Cohomological Dimensions of the Normal Bundle for Certain Classes of Monomial Ideals (with Michael Stillman) A Macaulay2 script to generate random shellable complexes by taking randomly generated posets. shellable.m2 |
AMS/MAA National Conference 2006 |
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Midwest Number Theory Conference for Graduate Students IV Fall 2006 |
Speaker |
Workshop in p-adic Dynamics: Weslyan University 5/14-5/16/2005 |
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AMS/MAA National Conference 2003 |
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Seminars |
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Five College Number Theory Seminar - Fall 2007 |
Dynatomic Cycles |
Brown Graduate Student Seminar Fall 2006 |
What is a Groebner Basis? |
MAA Northeastern Sectional Meeting Spring 2006 |
Arithmetic Dynamics on a class of K3 surfaces |
Brown Graduate Student Seminar Spring 2005 |
Mazur's Thoerem |
Brown Graduate Student Seminar Spring Fall 2004 |
Godel's Proof |
Brown Graduate Student Seminar Spring 2004 |
Gauss Sums |
Presentation Slides and Other Notes |
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Background for Mazur's Theorem on Elliptic Curve Torsion |
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Using Jocabi Sums to count solutions to certain diophantine equations |
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Godel's Undecidability Proof |
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Enriques-Kodaira Classification of Compact Complex Surfaces |
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