Jeff Johannes
Communication:
- Paper mail:
Mathematics Department
South Hall
State University College
of Arts and Sciences
Geneseo, NY 14454-1401 - E-mail: johannes@geneseo.edu
/
permanent:
johannes@member.ams.org
- Phone: (585) 245-5403
Department fax: (585) 245-5128
Monday 8-9p
Tuesday 2-3p
Wednesday 10-11a
Thursday 1-2p, 4:30 - 5:30p
and by appointment or visit
Calculus II for Biologists
TR 11:20a - 1:00p: Fraser 119
Prerequistes: MATH 221
This course is defined, in
many ways,
by what
it isn't. It isn't the easy way out of calculus II - in fact,
it
will likely be more demanding than 222 would be. It isn't
merely
the same topics from 222 with examples using biology. It is a
completely different experience than 222. Some 222 topics
will
not be
included, most notably infinite series. We will learn many
topics not studied in 222 - including probability and statistics, and
many topics not studied in other mathematics courses - such as discrete
dynamical systems. You will be my experts on biology, and I
will
be the mathematics expert. Along the way we will surely all
learn
something we never knew before. Be prepared to work, to
learn,
and to see some new and different things. Open your minds and
hold on for a biology flavoured adventure in mathematics.
Topics
in
Secondary Mathematics
TR 9:55 - 11:10p: South 336
This course, whch is
intended for the
mathematics major who is enrolled in the secondary education program,
provides a bridge and establishes connections between the college level
mathematics required of the mathematics major and the mathematics of
the secondary school curriculum.
MATHEMATICS 348
Oral
Presentation & Research Seminar
M 3:00 - 4:15p: South 336
MATHEMATICS 470
History and Fundamental Concepts of Mathematics
MW 4:15 - 5:30p: South 336
A graduate-level course in the history
of mathematics connected to the secondary school curriculum.
As for all good graduate-level courses - it will be what the
students make it.
Department
I am the chair of the colloquium committee for
2002-2007 and 2008-.
Please
visit our schedule of
colloquium talks
for this year.
Professional Activities
I am an active member of the Mathematical Association of
America.
In particular, I am the liaison coordinator and the chair
of the Seaway NExT Steering Committee. I am also a member of
the
American Mathematical Society.
Areas of research
- Low-dimensional Topology
- Knots, Links, and 3-manifolds
Current projects
I am currently pursuing
several research projects. The older of these projects
consists of investigating how the Casson-Walker-Lescop
3-manifold
invariant changes when modifying the presenting
link for a 3-manifold. This project has evolved into studying
questions of the Ohtsuki invariants of rational homology spheres with
Thang Le at SUNY Buffalo, and questions of the space of finite type
invariants for links of three or more components with Lorenzo Traldi at
Lafayette College. Another long-term project is to study
symmetries of links.
In particular I am examining a refinement of unlinking number
accounting for which components are involved in each of the
crossing changes, a so-called coloured unlinking number. Finally, I am
examining comparisons and connections between mathematician
Evariste Galois and composer Hector Berlioz.
Areas of interest
Prepared Talks
- Kaleidoscopic Mathematics
- The World That We See: Perspective and Projective
Geometry
- Mathematics and Music
- The Fourth Dimension and Science Fiction
- A Concise History of Calculus
- Mathematics of the Calendar
- An Introduction to Knot Theory
- Golden Rectangles Everywhere
- Evariste Galois and Hector Berlioz
- Evariste Galois and the Solution of Algebraic Equations
Publications
A Type 2 Polynomial Invariant of Links Derived from the
Casson-Walker Invariant, Journal of Knot Theory and Its
Ramifications, Vol. 8, No. 4 (1999) 491-504.
The
Casson-Walker-Lescop invariant and link invariants, Journal
of
Knot Theory and Its Ramifications, Vol. 14, No. 4 (2005) 425-433.
Bandpass
moves and the Casson-Walker-Lescop invariant, New
York Journal of Mathematics, Vol. 10 (2004), 231-247.
Modern Geometry
and the End of
Mathematics, in MAA notes #68 From
Calculus to Computers: Using
the Last 200 Years of Mathematics History in the Classroom,
2005.
Academic history
The Past
Project NExT
Seaway NExT Steering Committee Chair 2008-
Project
NExT
2000-2001 fellow (aka "Gold Dot"
).
Co-organized "Creating and Teaching Interdisciplinary Courses" session
at Joint Meetings in New Orleans. Thursday, January 11,
11:00a -
12:00N.
Conferences
AMS national meeting in New Orleans, January 10 - 13, 2001.
"Colored Unlinking", special session on geometry and
topology of low dimensional manifolds.
"Temperament of Mind: Hector Berlioz and Evariste Galois",
contributed paper.
AMS sectional meeting in Las Vegas, April 21 - 22, 2001.
Co-organized special session on the topology of
links.
MAA national MathFest in Madison, August 2 - 4, 2001.
"Infiltrating Preservice Elementary School
Mathematics with
History", contributed paper session on the use of history in the
teaching of mathematics.
MAA national MathFest in Burlington, VT, July 31 - August 4,
2002
"Modern Geometry", contributed paper session on the
use of
recent history of mathematics in teaching.
"Welcome to Mathematics: A Cornerstone Experience",
contributed
paper session on the role of proof in teaching mathematics.
MAA national MathFest in Boulder, CO, July 30 - August 2, 2003
"Days are Numbers: The Mathematics of the
Calendar",
general contributed paper session.
"Honesty is the Best Philosophy", contributed paper session on
innovations in quantitative literacy.
MAA national MathFest in Providence, RI, August 11 - 15, 2004
Co-organised session on
"Extracurricular Mathematics"
MAA national MathFest in Albuquerque, NM, August 3 - 6, 2005
"Why Are We Math Majors?",
contributed
paper session on current issues in mathematics education courses.
"Greatest Hits of Mathematics",
general
contributed paper session.
MAA national MathFest in
Knoxville, TN,
August 9 - 12, 2006
"A Little Moore
Probability",
contributed
paper session on current issues in mathematics education courses.
"Kaleidoscope", general contributed paper session.
MAA national MathFest in San Jose, CA, August 2 - 5, 2007
"Where are we from? - An
entire class
project", contributed paper session on getting students to discuss and
to write about mathematics.
"Four dimensional tic-tac-toe on a torus - the game of SET", general
contributed paper session
MAA national MathFest in Madison, WI, July 30 - August 2, 2008
"Vedic Decimal Patterns",
contributed
paper session on interesting topics in history of mathematics that
enchance the teaching and learning of mathemaitcs.
"Place Value Airthmetic via Polynomials", contributed paper session on
innovations in mathematics education.
The Future
Among many other things, perhaps a personal
web site.
Return to:
Mathematics Department, SUNY
Geneseo.