Jill Dietz
St. Olaf College
Some info
Office hours (tba)
- Monday 3:00-4:00
- Tuesday
- Wednesday
- Thursday
- Friday
My general schedule
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Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| 10:00-10:45 |
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See
Below
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See
Below
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| 10:45-11:40 |
Math 128
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Math 128
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Math 128
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| 11:50-12:45 |
Math 128
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Math 128
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Math 128
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| 12:55-1:50 |
Research students
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Research Students
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| 2:00-2:55 |
Office Hour
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Research students |
Office Hour |
3:00
- 4:00
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Office Hour
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Research Seminar
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| 4:00-5:00 |
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Research Seminar
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Tuesday |
Thursday |
| 9:30 - 11:00 |
xxxxx
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Math 396
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11:00 - 11:30
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xxxxx
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| 11:30 - 12:30
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xxxxx
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Community
Time
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| 12:30 - 1:30
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xxxxx
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Office Hour
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1:30 - 2:30
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Colloquium |
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2:30 - 3:30
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Office Hour |
Department Meeting
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3:30 - 4:30
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Fac. Life Comm |
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4:30 - 5:30
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Fac. Life Comm
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Education
- Ph.D. Northwestern University, Evanston, IL, 1991
- M.S. Northwestern University, Evanston, IL, 1988
- B.A. Brandeis University, Waltham, MA, 1986
Employment
- St. Olaf College, Northfield, MN, 1996-
- Gettysburg College, Gettysburg, PA, 1995-1996
- University of Washington, Seattle, WA, 1991-1995
Research Interests
Generally, I am interested in the field
of algebraic topology. More specifically, I study the stable homotopy
type of classifying spaces of groups. I am also interested in finite
groups and group cohomology. Two of my favorite archives
are
Representations and Cohomology and Hopf
Topology.
- Using a "single story" as an
integrative thread in an upper-level mathematics course, to
appear in PRIMUS.
- On automorphisms of products of
groups, Groups St. Andrews 2005 (London Math. Soc. Lecture Note
Series 340), Cambridge University Press, 2007.
- Stable splittings of classifying spaces of
finite groups: Bridging the work of Benson-Feshbach and Martino-Priddy,
Homotopy, Homology and Applications, 8 (2006), 75-90.
- Discovering Abstract Algebra: A Constructivist Approach to
Module Theory, in "Beyond Calculus: Innovative approaches to
undergraduate mathematics courses," Richard Maher, ed., Mathematical
Association of America, Washington DC, 2005.
- Automorphisms of groups given as cyclic-by-elementary
abelian central extensions, Journal of Algebra 242 (2001),
417-432.
- Classifying spaces of central group extensions, with
Tommy Ratliff, Proceedings of Symposia in Pure Mathematics 63,
Group Representations: Cohomology, Group Actions and Topology, AMS,
1998.
- The cohomology of groups with rank 2 Sylow p-subgroups,
with John Martino and Stewart Priddy, Proceedings of the American
Mathematical Society 124 (1996), 2261-2266.
- The role of the Steinberg module in splitting BG,
Contemporary Mathematics 158: Connections between Algebraic
Topology and Representation Theory, AMS, 1994.
- The stable homotopy type of rank two p-groups, with
Stewart Priddy, Contemporary Mathematics 188: Homotopy Theory
and its Applications, AMS, 1995.
- Stable splittings of classifying spaces of metacyclic 2-groups,
Mathematical Proceedings of the Cambridge Philosophical Society 116
(1994), 285-299.
- Stable splittings of classifying spaces of metacyclic
p-groups, p odd, Journal of Pure and Applied Algebra 90
(1993), 115-136.
Teaching Interests
My main interest is promoting and
conducting research with undergraduates. I am interested in problems in
the areas of linear algebra, abstract algebra, knot theory, graph
theory, and more. I have problems for students at all levels; some
require little in terms of prerequisites, while others require at least
a course in abstract algebra.
If you are interested in doing some research, either for pleasure or
as a course, please write me or come talk to me. We can discuss all of
your options and I can better explain what research in an undergraduate
setting is all about.
Published Student Papers
- Daniel Endean, Kristin Henry, and Erin Manlove, Zero-divisor graphs of Zn and polynomial
quotient rings over Zn,
Rose-Hulman
Undergraduate Research Journal 8
(2) (2007).
- Stephanie Libera and Paul Tlucek, Perfect order subset groups,
Pi Mu Epsilon Journal, 11 (2003), 495-498. This paper won the
3rd place Richard V. Andree Award.
- Eric Wilbur, Topspin: Solvability of sliding
number games, Rose-Hulman Undergraduate Research Journal, 2
(2) (2001).
- Mark Schulte, Automorphisms of metacyclic p-groups with
cyclic maximal subgroups,
Rose-Hulman Undergraduate Research Journal, 2 (2), (2001).
- Mark Afdahl, Gretchen Christianson, Jill Dietz,
Alfred Furth, Kirsten Knudson, and Sarah Volkenant, The probability
that two elements in an extra-special p-group commute, Pi Mu
Epsilon Journal, 11 (2001), 169–173.
- Nitish Dass, Jonathan McGrath, and Erin Urbanski, The
determinant of a (m; n) pretzel, Pi
Mu Epsilon Journal, 11 (2000), 135–137. This paper won a 2000
Richard V. Andree Award.
List of Student Research Papers
- Mark Afdahl ’98, Gretchen Christianso ’98, Alfred Furth ’98,
Kirsten Knudson ’98, and Sarah Volkenant ’98, The probability that
two elements in an extraspecial p-group commute.
- Brett Aplin '04, Erik Lee '04, and Andrea Johnson '04,
Automorphisms of central products.
- Jennifer Beilfuss ’01, Julie Beilfuss ’01, Liv Anda Knatterud
’01, and Tim Laffredi ’01, Hamiltonian circuits in Cayley
graphs of finite group.,
- Julie Beilfuss, Benjamin French, Eric Johnson, Liv Anda
Knatterud, Determinants of n-linked knots.
- Jill Bierbrauer ’98 and Jessie Ellwein ’98, Weird dice.
- David Bode ’99 and Brian Grivna ’98, Wild and crazy orbits.
- Kathy Bohlman ’01, Sarah Cherry ’01, David Croom ’00, Graph
theory of D2n graphs.
- Chris Brav ’02 Automorphism groups of extra-special p-groups
of order p3.
- Chris Brav ’02, John Farrell ’01, Grant Riewe ’01, The
automorphism group of an extra-special p-group of order
p3.
- Amy Brendel ’99, Mark Schulte ’99, Automorphisms of
metacyclic 2-groups.
- Joshua Campbell '08, Christopher Evatt '10, and David McClure '08,
Carry Groups.
- Joshua Campbell '08 and Thomas McConville '09, Binormalizers
and Conjugacy Classes of Products.
- Joshua Chai ’01, John Farrell ’01, Rick Lassow ’01, Paul Pearson
’01, Automorphisms of finite groups.
- Nitish Dass ’01, Jonathan McGrath ’01, and Erin Urbanski ’00, The
determinant of a (m; n) pretzel.
- Kelly Dolan '07, Tyson Gern '08, and Lincoln James '10, The
Probability that Two Elements in a Group Commute.
- Katie Durham ’01, Ben French ’01, Vicky Schultz ’01, What
is the probability of an automorphism fixing a group element?
- Kevin Evans ’99, Barbie Gregory ’99, Sarah Kueffer ’99, and Mark
Schulte ’99, Group labeling of knots.
- Erika Franklin ’00, H. Jay Picconatto ’00, Sarah Wisneski ’01,
ErikWammer ’00, Cayley graphs of odd order.
- Tyson Gern '08, Bethany Johnson '07, and Trese Overacker '07,
Prime Factorization and Factor Rings of Eisenstein Integers.
- Jason Grimm ’03, Orbits of group endomorphisms.
- Scott Harris '04 and Nicholas Maryns '04, A few results
concerning automorphism groups of semidirect products.
- Elizabeth Johnson '06, Pokie Speare '05, and Heather Wiste
'05, Frattini Subgroups.
- Jamie Kirkpatrick ’99 and Eric Wilbur ’00, On sliding number
games.
- Rick Lassow ’01, John McBride ’01, Paul Pearson ’01, Integrals
of groups.
- Billy Laxen '07 and Jake Mahler '07, Lifts in Automorphism
Groups.
- Noah Loome '05, Will Mitchell '06, and Elizabeth White '05,
Automorphisms of semi-direct products.
- Erin Manlove '07, Matthew Moynihan '07, and Gregory Wolken '07,
Fibonacci Lengths for Direct Products.
- H. Jay Picconatto ’00, Comparing the dynamics of f and f'.
- Reid Price '07, Perfect Order Subset Groups within the
Symmetric Group
- Jason Saccomano '05, Automorphisms of semi-direct products.
- Mark Schulte ’01, Automorphisms of metacyclic p-groups with
cyclic maximal subgroups.
- Niels Sveum ’01, Leslie Taylor ’01, Ryan Thomas ’01, The
probability that two elements in a metacyclic p-group commute.
- Eric Wilbur ’00, Topspin: Solvability of sliding number games.
Disclaimer