Jennifer Halfpap Kacmarcik


I am an Associate Professor in the Department of Mathematical Sciences at the University of Montana. I am also the Associate Chair of the department, directing the  Graduate Program.


Contact Information


Department of Mathematical Sciences

University of Montana

32 Campus Drive

Missoula, MT 59812

phone: (406) 243-2083




Office Hours for Fall, 2014

Monday 9:10 - 10:00, Tuesday 1:10 - 2:00; Wednesday 2:10 - 3:00; by appointment


Teaching for Fall 2014

M 381 - Advanced Calculus 1

The course meets MWF 8:10 - 9:00. 

Text: I am writing a textbook Exploring the Infinite: An Introduction to Proofs and Analysis.  I will make chapters available here as needed.

Preface & Chapter 1: Basic Notions

Chapter 8: Sequences of Real Numbers

Chapter 9: A Closer Look at the Real Number System

Chapter 10: Series, Part I

Chapter 11: The Structure of the Real Line

Chapter 12: Continuous Functions

Chapter 13: Differentiation


Other Course Materials:


Daily Exercises through 10/10

Homework 1

Homework 2

Homework 3

Homework 4

Homework 5

Homework 6

Homework 7

Homework 8

Homework 9

Homework 10

Homework 11 (optional): Exercises 12.2.4, 12.3.1, Problem 12.5, Exercises 13.1.1, 13.2.1.

Latex primer - .tex file

Latex primer - .pdf file





I am interested in analysis, which is a branch of pure mathematics that grows out of theoretical calculus.  More specifically, I am interested in the theory of functions of several complex variables. 


Recent Publications and Preprints


J. Halfpap and J. Lebl, Signature Pairs of Positive Polynomials.  Bulletin of the Society of Mathematics, Academia Sinica, New Series 8, (2013) . see also  arXiv:1211.0997v3 [math.AG]


M. Gilliam and J. Halfpap,  The Szego Kernel for Certain Non-Pseudoconvex Domains in C^2.  Illiois Journal of Mathematics, to appear.

see also arXiv:1107.1687v1 [math.CV]


M. Gilliam and J Halfpap, The Szego Kernel for Non-Pseudoconvex Tube Domains in C^2. Complex Variables and Elliptic Equations, to appear.  see also arXiv:1107.1694v1 [math.CV]


D. Grundmeier and J. Halfpap. An Application of Macaulay's Estimates to Sums of Squares Problems in Several Complex Variables, Proceedings of the AMS, to appear.  see also arXiv:1304.0237 [math.CV]



Graduate Program


I am the chair of the Graduate Committee in the Department of Mathematical Sciences.  For information visit the department's graduate program webpage .


(MT)2: Montana supports the Mathematicians of Tomorrow


I am the PI on NSF DUE S-STEM grant 1356717. This five-year program, which began in July, 2014, provides financial and academic support to undergraduate and graduate students with financial need. For more information or to apply, see