Allison Pacelli

Profile Picture of Allison Pacelli
Title
Associate Professor of Mathematics
Department
Mathematics and Statistics
Institution
Williams College

Education

  • B.S. Union College (1997)
  • Ph.D. Brown University, Mathematics (2003)

Research Interests

Class Numbers, Class Number   Global Function Fields   Number Theory  

  View all research interests

Biography

Not mentioned yet

Homepages

Contact Information

  413-597-4708

Research
Not mentioned yet. (?)
List of Publications (56)
In 2013
56

Contributing Author to Thinkwell Precalculus by Edward B. Burger, Thinkwell, Fall 2013.

Found on CV
In 2012
55

Williams College Mathematics and Statistics Department Faculty Seminar, Class Numbers & Class Field Towers, April 6, 2012

Found on CV
54

Williamstown Elementary School Professional Development Series, Mathematics & The Common Core, October 17, 2012

Found on CV
53

Monticello Central School District, Professional Development Series, Thinking through the Common Core (with Ed Burger), July 9-12, 2012

Found on CV
In 2011
52

Wellesley College Mathematics Colloquium, March 4, 2011: Algebraic Number Theory: an "Ideal" Subject Siena College Mathematics Colloquium, November 5, 2010: Algebraic Number Theory & Fermat's Last Theorem Brown University Algebra Seminar, November 1, 2010: Class Number Indivisibility Summer Program for Women in Mathematics, George Washington University, July 27, 2010: Algebraic Number Theory: an "Ideal" Subject Acadia University Mathematics Department Colloquium, July 13, 2010: Math and Politics in the Undergraduate Curriculum Allison M. Pacelli Page 4 of 10

Found on CV
51

Function Fields with Class Number Indivisible by a Prime l (with Michael Rosen, Michael Daub , Natee Pitiwan, Mona Merling, Jackie Lang, Acta Arith. 150 (2011), 339- 359.

Found on CV
In 2010
50

Canadian Number Theory Conference, Acadia University, July 12, 2010: Indivisibility of Class Numbers in Global Function Fields Williams College SMALL REU Mathematics Colloquium, June 16, 2010: Algebraic Number Theory: an "Ideal" Subject University of Massachusetts at Amherst, Mathematics Department, April 6, 2010: Career Advice for Graduate Students Williams College Annual Faculty Lecture Series, March 18, 2010: "Fair is Foul, and Foul is Fair:" A Mathematical Approach to Fairness Mid-Hudson Mathematics Conference for Undergraduates, Keynote Address, Bard College, October 25, 2009: Algebraic Number Theory: From Fermat to Function Fields Smith College Mathematics Department Colloquium, October 6, 2009: Algebraic Number Theory: an "Ideal" Subject Journees Arithmetiques, July 6, 2009: Class Number Indivisibility in Global Fields SAC (NYC hedge fund) Seminar, December 4, 2008: Algebraic Number Theory: an "Ideal" Subject Mathematical Association of America Eastern Section Meeting, Invited Address, November 21, 2008: The Mathematics of Fairness, Williams College Department of Mathematics Faculty Research Seminar, October 31, 2008: Indivisibility of Class Numbers Bard College Mathematics Department Colloquium, October 16, 2008: The Mathematics of Fairness Middlebury College Mathematics Department Colloquium, October 21, 2008: Algebraic Number Theory: an "Ideal" Subject AMS Fall Eastern Section Meeting, October 11, 2008: Class Number Indivisibility in Function Fields Spelman College Honors Program Talk, September 22, 2008: Election 2008 and Beyond: Your Vote Doesn't Matter, but You can Still Get Your Way Spelman College Mathematics Department Colloquium, September 23, 2008: The Mathematics of Fairness Williams College SMALL Colloquium, Class Numbers of Global Fields, June 11, 2008.

Found on CV
In 2009
49

Indivisibility of Class Numbers of Global Function Fields (with Michael Rosen), Acta Arith. 138 (2009), 269-287.

Found on CV
48

Function Fields with 3-Rank at Least 2, Acta Arith. 139 (2009), 101-110.

Found on CV
In 2008
47

Mathematics and Politics: Strategy, Voting, Power, and Proof (with Alan D. Taylor), second edition, Springer-Verlag, Fall 2008.

Found on CV
46

Williams College Science Lunch, A Mathematical Approach to Fairness, February 5, 2008.

Found on CV
45

Class groups of real quadratic fields of 3-rank at least 2: Effective bounds (with Florian Luca), Journal of Number Theory, 128 (2008), 796 - 804.

Found on CV
In 2007
44

(with undergraduates Carl Erickson, Nathan Kaplan, Neil Mendoza '07, and Todd Shayler '06), Acta Arithmetica 130 (2007), 141 - 147.

Found on CV
43

Maine/Quebec Number Theory Conference, The 3-Rank of the Class Group in Number Fields and Function Fields, September 29, 2007.

Found on CV
42

Williams College Faculty Seminar, Indivisibility of Class Numbers, September 28, 2007

Found on CV
41

Five College Number Theory Seminar, The 3-Rank of the Class Group in Number Fields and Function Fields, March 13, 2007.

Found on CV
In 2006
40

University of Wisconsin Number Theory Seminar, High n-Rank in Class Groups of Function Fields, November 30, 2006

Found on CV
39

George Washington University Summer Program for Women in Mathematics, Algebraic Number Theory: An "Ideal" Subject, July 20, 2006

Found on CV
38

Higher Rank Subgroups in the Class Groups of Imaginary Function Fields (with Y. Lee), Journal of Pure and Applied Algebra, 207 (2006), 51 - 62.

Found on CV
37

A Lower Bound on the Number of Cyclic Function Fields with Class Number Divisible by n, Canadian Mathematical Bulletin, 49 (2006), 448 - 463.

Found on CV
36

Williams College Mathematics Department Faculty Seminar, Class Groups of Quadratic Fields, March 3, 2006

Found on CV
35

Canadian Number Theory Association Meeting IX, High n-Rank in Class Groups of Global Fields, July 13, 2006

Found on CV
34

University of Wisconsin Graduate Student Seminar, Life at a Liberal Arts College, November 30, 2006

Found on CV
33

Quebec-Vermont Number Theory Seminar, Class Groups with High n-Rank, June 14, 2006

Found on CV
32

Union College Undergraduate Mathematics Seminar, Algebraic Number Theory: My "Ideal" Summer, January 23, 2006

Found on CV
31

Fields Institute Workshop on Computational Challenges in Algorithmic Number Theory and Cryptography, Constructing Number Fields and Function Fields with Prescribed Class Group Properties, October 31, 2006

Found on CV
30

Front Range Number Theory Colloquium, University of Wyoming, Unit Rank and the Rank of the Class Group of a Global Function Field, March 9, 2006

Found on CV
29

The Prime at Infinity and the Rank of the Class Group in Global Function Fields, Journal of Number Theory, 116 (2006), 311 - 323.

Found on CV
28

Brown University Graduate Student Seminar, Class Numbers of Quadratic Fields, November 15, 2006

Found on CV
In 2005
27

University of Connecticut Department of Mathematics Awards Ceremony, Democracy in Action: Your Vote Doesn't Matter, but You Can Still Get Your Way, April 21, 2005

Found on CV
26

Hudson River Undergraduate Mathematics Conference, Polynomials in a Parallel Universe, April 30, 2005

Found on CV
25

University of Rochester Number Theory Seminar, High Rank Subgroups in Class Groups of Global Function Fields, March 3, 2005

Found on CV
24

Fermat's Last Theorem, November 15, 2005

Found on CV
23

Williams College Mathematics Department Faculty Seminar, Class Groups of Global Function Fields, February 11, 2005

Found on CV
22

Centre for Information Security and Cryptography Discrete Mathematics Seminar, High Rank Subgroups in Class Groups of Global Function Fields, March 23, 2005

Found on CV
21

Association for Women in Mathematics Workshop, Unit Rank and the Rank of the Class Group of a Global Function Field, January 8, 2005

Found on CV
20

Williams College Mathematics Colloquium, Algebraic Number Theory: From Fermat to Function Fields, June 15, 2005

Found on CV
19

Subgroups of the Class Groups of Global Function Fields: The Inert Case, (with Y. Lee), Proceedings of the American Mathematical Society, 133 (2005), 2883-2889.

Found on CV
18

Quadratic Reciprocity via Theta Functions, (with Ram Murty), Ramanujan Mathematical Society Lecture Notes Series, Volume 1 (2005), 107-116.

Found on CV
17

Union College Mathematics Conference, High n-Rank in Class Groups of Global Fields, December 3, 2005

Found on CV
16

Number Theory Inspired by Cryptography Conference, High n-Rank in Class Groups of Global Fields, November 7, 2005

Found on CV
In 2004
15

Williams College Science Lunch, Election Day: What Does Your Vote Really Mean?, November 2, 2004

Found on CV
14

Colby Sawyer College, Election 2004 and Beyond: Your Vote Doesn't Matter, but You Can Still Get Your Way, October 13, 2004

Found on CV
13

Number Theory Conference in Honor of Harold Stark, Class Number Divisibility in Cyclic Function Fields, August 7, 2004

Found on CV
12

Abelian Subgroups of Any Order in Class Groups of Global Function Fields, Journal of Number Theory, 106 (2004), 26-49.

Found on CV
11

Williams College Faculty Seminar, March 5, 2004: Class Number Divisibility in Number Fields and Function Fields Holy Cross Math Colloquium, December 8, 2003: Polynomials, Primes, and Fermat's Last Theorem Queen's University, Number Theory Seminar, November 14, 2003: Subgroups of Any Order in Class Groups of Global Function Fields Queen's University, Math Department Colloquium, November 14, 2003: Divisibility of Class Numbers Five College Number Theory Seminar, October 28, 2003: Subgroups of Any Order in Class Groups of Global Function Fields Williams College Colloquium, February 12, 2003: Polynomials, Primes, and Fermat's Last Theorem Davidson College Math Coffee, February 5, 2003: Polynomials and Primes AWM Workshop, Joint Meetings 2003, Poster Presentation: Class Groups of Global Function Fields AMS Eastern Section Meeting October 5, 2002, Special session on Number Theory and Arithmetic Geometry: Class Groups of Global Function Fields Union College Undergraduate Math Seminar, October 30, 2002: Polynomials and Primes Mathfest 2002, Contributed Paper: Divisibility of Class Numbers of Global Function Fields KFS Summer@Brown, Guest Lecturer, 2002: Number Shapes Graduate Student Number Theory Seminar, Brown University: Several Talks 1999 - 2002

Found on CV
10

Brown University Undergraduate Mathematics Seminar, Election 2004 and Beyond: Your Vote Doesn't Matter, but You Can Still Get Your Way, October 19, 2004

Found on CV
9

Williams College Science Lunch Seminar, May 4, 2004: The Idealization of the Prime Allison M. Pacelli Page 7 of 10

Found on CV
8

Capital Region Algebra and Number Theory Seminar, Class Groups of Global Function Fields, December 15, 2004

Found on CV
7

Canadian Number Theory Association Meeting VIII, Subgroups of Any Order in Class Groups of Global Function Fields, June 22, 2004

Found on CV
6

Williams College Special Family Weekend Mathematics Lecture, Election 2004 and Beyond: Your Vote Doesn't Matter, but You Can Still Get Your Way, October 23, 2004

Found on CV
Unspecified
5

Allison M. Pacelli Page 2 of 10

Found on CV
4

Colby College Undergraduate Mathematics Colloquium, Polynomials, Primes, and Allison M. Pacelli Page 6 of 10

Found on CV
3

Arithmetic Properties of Generalized Rikuna Polynomials (with Zev Chonoles, John Cullinan, Hannah Haussman '12, Sean Pegado '11, and Fan Wei), submitted.

Found on CV
2

Parameterized Families of Quadratic Fields with 3-Rank At Least 2

Found on CV
1

Allison M. Pacelli Page 5 of 10

Found on CV
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