CURRICULUM VITAE

CRISTINA BALLANTINE
Assistant Professor of Mathematics
College of the Holy Cross
Phone: (o) 508-793-3940 (h) 508-829-9841 e-mail: cballant@holycross.edu
 
 

Research Interests

Number Theory, Automorphic Forms and Representation Theory, Buildings, Combinatorics
 
 

Education

Ph.D.	University of Toronto, Canada (June, 1998)
	Advisor: Professor James Arthur
	Thesis: Hypergraphs and Automorphic Forms
M.Sc.	University of Toronto, Canada
Diplom	University of Stuttgart, Germany

 

Academic Appointments

Sept. 2002--Present	College of the Holy Cross: Assistant Professor
July. 2000--Aug.2002	Dartmouth College: J.W. Young Research Instructor
Sept. 1999--June 2000	Bowdoin College: Visiting Assistant Professor
Sept. 1998--May 1999	University of Wyoming: Visiting Assistant Professor
Sept. 1995--Jan. 1998	University of Toronto, Canada: Instructor

Professional Experience

1995	Freelance Translator: English, German, Romanian
	Performed simultaneous and written translations
Aug. 1989--Sept. 1991	Allianz Life Insurance, Stuttgart, Germany
	Software analyst and project manager for data base
	transfer of East German state insurance to Allianz
Jul. 1988--Aug. 1989	Frauenhoffer Research Institute, Stuttgart, Germany
	Scientific assistant

 

Awards

1992--1994, 1995--1997	University of Toronto Open Fellowship
1991--1992	Simcoe Fellowship
1996	Daniel B. DeLury Teaching Award
2002	AWM Travel Grant ($700)
2003	Research and Publication Grant ($500)

 

References

Prof. J. Arthur	University of Toronto
Prof. T. Shemanske	Dartmouth College
Prof. D. Lahr	Dartmouth College
Prof. A. Terras	U.C. San Diego
Prof. W. Barker	Bowdoin College

 

Publications

1) Hypergraphs and Automorphic Forms, Toronto, Ph.D. thesis

2) Ramanujan Type Buildings, Canad. J. Math. Vol. 52 (6), 2000 pp. 1121-1148

3) A Hypergraph with Commuting Partial Laplacians, Canad. Math. Bull. Vol. 44 (4), 2001 pp. 385-397

4) A Simple Proof of Rolle's Theorem for Finite Fields (with J. Roberts), The American Mathematical Monthly, Vol. 109 (1), 2002 pp. 72-74

5) Ramanujan Type Graphs and Bigraphs, Proceedings of the 4th International Conference on Dynamical Systems and Differential Equations, May 24-27, 2002, Wilmington, NC, 78-82

6) Hecke Operators for GL_n and Buildings (with T. Shemanske and J. Rhodes), to appear in Acta Arithmetica

7) Rolle's Theorem for Local Fields (with T. Shemanske), preprint

8) The Asymptotic Behaviour of the Lengths of Free Homotopy Classes of Loops in Certain Hypergraphs, in preparation

9) Spectrum Estimates for Tree Quotients of U(3) over p-adic Fields, in preparation

10) The Kronecker Product S_(n-p,p)*S_? (with R. Orellana), in preparation

11) Zeta Matrix and its Determinant (with. S. Frechette and J. Little), in preparation
 
 

Recent Presentations

  Nov. 2003      Rolle's Theorem over Finite and Local Fields

                      MAA/NES Regional Meeting, Wellesley College, Wellesley, MA

Oct. 2002	Rolle's Theorem over Finite and Local Fields
	College of the Holy Cross
May 2002	Ramanujan Type Graphs and Bigraphs
	Fourth International Conference on Dynamical Systems
	and Differential Equations, Wilmington, NC
Jan. 2002	A Simple Proof of Rolle's Theorem for Finite Fields
	Joint Mathematics Meetings, San Diego
	General Contributed Paper Session
Nov. 2001	Expander Graphs and Automorphic Forms
	Dartmouth College
Apr. 2001	Spectra of Graphs and Automorphic Forms
	University of Massachusetts Amherst
March. 2001	Spectra of Graphs and Automorphic Forms
	15th Annual Workshop on Automorphic Forms and Related Topics,
	Palo Alto, California
Oct. 2000	Hypergraphs and Automorphic Forms
	Five College Number Theory Seminar
April 2000	The Langlads Program
	Bowdoin College
Jan. 2000	Ramanujan Type Buildings
	Joint Mathematics Meetings, Washington, D.C.
	Special Session on Modular Forms and Elliptic Functions
Dec. 1999	Ramanujan Type Buildings
	Bowdoin College
Nov. 1999	Buildings
	Bowdoin College
March 1999	Ramanujan Type Buildings
	13th Annual Workshop on Automorphic Forms and Related Topics,
	Santa Barbara, California
March 1999	Applications of Number Theory to Subjects From Music to Physics
	University of Wyoming
Feb. 1999	The Hecke Algebra and the Satake Isomorphism
	Algebra-Combinatorics Seminar, University of Wyoming
Nov. 1998	Affine Buildings
	Joint Seminar on Algebraic Combinatorics, Colorado State University
Oct. 1998	Buildings as Hypergraphs and Their Spectra
	Joint Seminar on Algebraic Combinatorics, Colorado State University
Oct. 1998	On the Problem of Classifying Automorphic Representations (after J. Arthur)
	Algebra-Combinatorics Seminar, University of Wyoming
Sept. 1998	Partial Laplacians, Hypergraphs and Telephone Networks
	Colloquium, University of Wyoming

Invited Talks

Oct. 1999	Expander Graphs and Automorphic Forms
	Second Annual Maine-Québec Number Theory Conference, Orono, Maine

Conferences Organized

Jan. 2003	Special Session: Elliptic Curves Modular Forms and Related Topics
	(with S. Frechette and H. Rosson)
	Joint Meetings of the AMS

Service

Library liaison for the Mathematics and Computer Science Department (Sept. 2002 - present)

Interviewer for the Study Abroad Program (April 2003)

Committee on Study Abroad (Sept. 2003 - August 2006) 

Avon Scholarship Committee (May 2003) 

Gateway Advising (June 2003) 
 
 

Departmental representative for the United Way/Holy Cross giving campaign 
 
 

Examiner for the Ph.D. language requirement exam (German) at Dartmouth College (Sept. 2000 - August 2003)

Other Activities

Participant in Discover Science Day - an event for female high school students held at the University of Toronto

Judge for the Science Fair at the University of Wyoming

Panelist Keeping Active in Research - Joint Meetings of the AMS, January 2001, New Orleans, LA

Grant Reviewer for the NSF

Textbook reviewer for Prentice Hall

Kindergarten Volunteer, Davis Hill Elemntary School, Holden, MA