A painting by my father, Gilson Finotti
Luís Renato Abib Finotti
| Address: |
Ayres Hall 243 |
|
1403 Circle Drive |
| Department of Mathematics |
|
University of Tennessee |
|
Knoxville, TN 37996-1320 |
| Phone: |
(865) 974-1321 |
| Fax: |
(865) 974-6576 (Attn: Luis Finotti) |
| E-Mail: |
finotti@math.utk.edu |
| Office Hours: |
M, W: 10am-11am |
|
or by appointment |
I'm an Associate Professor here at the Department of Mathematics of the
University of Tennessee
Knoxville. My area is Algebraic
Number Theory.
Here is an old picture of me. But be warned,
after you see it, you can't unsee it!
To my current students (Spring 2013)
Go to the: Math 307 (Introduction to
Abstract Mathematics - Honors) Course
Page, Math 659 (Algebra Seminar)
Course Page.
Research
- ``Coordinates of the j-Invariant of the Canonical
Lifting'': dvi, ps,
pdf. To appear at the Functiones et
Approximatio Commentarii Mathematici.
- ``Nonexistence of Pseudo-Canonical
Liftings'': dvi, ps,
pdf. ``International Journal of
Number Theory'', 8(1):31-51, 2012.
- ``Coordinates of the Greenberg Transform of a
Polynomial'': dvi, ps,
pdf. Submitted for publication. (Some
files used to check computations in the paper can be found here.)
- ``Computations with Witt Vectors of Length
3'': dvi, ps, pdf.
``Journal de Théorie des Nombres de Bordeaux'',
23(2):417-454, 2011. (Some files used to check computations in the
paper can be found here.)
- ``Lifting the j-Invariant: Questions of Mazur and Tate'': dvi, ps, pdf. ``Journal of Number Theory'',
130(3):620-638, 2010.
- ``A Formula for the Supersingular Polynomial'': dvi, ps, pdf . ``Acta Arithmetica'',
139(3):265-273, 2009. (Also loo check the Addendum: dvi, ps, pdf.)
- ``Minimal Degree Liftings in Characteristic 2'' : dvi, ps, pdf. ``Journal of Pure and Applied
Algebra'', 207:631-673, 2006.
- ``Minimal Degree Liftings of Hyperelliptic Curves'' : dvi, ps,
pdf. ``Journal of Mathematical
Sciences, University of Tokyo'', 11:1-47, 2004
- ``Degrees of the Elliptic Teichmuller Lift'': dvi, ps, pdf. ``Journal of Number Theory'',
95:123-141, 2002.
- My canonical lifts page. Formulas,
programs, etc.
- Vita: dvi, ps, pdf.
- Research Statement (for specialists): dvi, ps, pdf.
- Ph.D. Thesis: dvi, ps, pdf.
Teaching
Courses taught at the University of Tennessee:
- Spring 2013: Math 307 - "Introduction
to Abstract Mathematics
(Honors)", Math 659 - "Algebra
Seminar".
- Fall 2012: FYS 129 - "Mathematics
and Finances", Math 251 -
"Matrix Algebra I", Math 455 -
"Abstract Algebra I".
- Spring 2012: Math 141 - "Calculus
I", Math 552 - "Modern Algebra
II".
- Fall 2011: FYS 129 - "Mathematics
and Finances", Math 551 -
"Modern Algebra I".
- Summer 2011: M251 - "Matrix Algebra
I".
- Spring 2010: Math 141 - "Calculus
I", Math 556 - "Number Theory
II".
- Fall 2010: FYS 129 - "Logs,
Exponentials, and Finance", M251
- "Matrix Algebra I", M555 -
"Number Theory I".
- Summer 2010: M251 - "Matrix Algebra
I".
- Fall 2009: Math 300 - "Introduction
to Abstact Mathematics", Math 351
- "Algebra I".
- Summer 2009: M251 - "Matrix Algebra
I".
- Spring 2009: M251 - "Matrix Algebra
I", M556 - "Number Theory
II".
- Fall 2008: M300 - "Introduction to
Abstract Mathematics", M555 - "Number Theory
I".
- Spring 2008: M552 - "Modern Algebra
II".
- Fall 2007: M251 - "Matrix Algebra
I", M551 - "Modern Algebra I".
- Spring 2007: M456 - "Abstract Algebra
II".
- Fall 2006: M455 - "Abstract Algebra
I".
Notes for the Project GRAD Summer Institute 2009: ``A Gentle Introduction to Number Theory and
Cryptography''.
Here is a spreadsheet (Open Document
format, MS Excel format) that
can be used to computed interest, final value with interest and
payments, calculate value of payments, and how long to pay off or
save a specific value. You will need to read
the instructions to use
it.
My On-line
Feedback Form, in which you can give me anonymous feedback for
past and current course.
For information on courses taught at the University of California Santa Barbara,
or at at the Ohio State University,
please e-mail me.
Math Links
There is no such thing as blank and total darkness
There's no such night that's cold and solely starless
Before we know, the story goes
In ways we never have thought of, in wonder ways
And so we speak, in gardens green,
We walk the bright hills of summer in Evermore
Into the sun, where dreamers run
we fight for freedom, sunlight and all time brights
The way we've grown, the seeds we've sown
Today we're almost as high as we sail the sky
And so we dream, in gardens green,
We walk the bright hills of summer in Evermore
In Love we trust, we're home at last
To hear the sweet songs of Angels in Everlast
This dream is real, the Final Deal
It's more than we asked for, in evermore, evermore...
``The Final Deal'' by
the Flower Kings (music and
lyrics by Roine Stolt),
from the
album Flower
Power (1999).
Last updated Jan 04, 2013.
Send questions and comments to finotti@math.utk.edu.
Go to UTK Math home page