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UT Tyler Math Department Research Activities
Faculty Publications
Rebecca Culshaw:
Casey Mann:
Jennifer McLoud-Mann:
Casey Mann, Ben McCarty, Jennifer McLoud-Mann, Ramona Ranalli, Nathan Smith, Minimal Knotting Numbers, submitted to Journal of Knot Theory and its Ramifications.
Casey Mann, Ben McCarty, Jennifer McLoud-Mann, Ramona Ranalli, Nathan Smith, Distance in three-dimensional lattices, submitted to Journal of Discrete and Computational Geometry.
Mark Johnson, Jennifer
McLoud-Mann, On equations defining Veronese rings,
accepted by Archiv der Mathematik, 86,205-210, 2006.
Casey Mann, Jennifer
McLoud-Mann, On the relationship between minimal lattice knots
and minimal cube knots, Journal of Knot Theory and its Ramifications, Vol.
14, No. 7, 2005.
Jennifer McLoud-Mann. On a Certain Family of Determinantal-like Ideals, Communications in Algebra, 33, 623-632, 2005.
Jennifer McLoud-Mann, Learning approach, course experience, & astronomy understanding in TOP astronomy, Journal of College Science Teaching, 27(4), 240-244.
Deborah Koslover:
Ramona Ranalli:
Casey Mann, Ben McCarty, Jennifer McLoud-Mann, Ramona Ranalli, Nathan Smith, Minimal Knotting Numbers, submitted to Journal of Knot Theory and its Ramifications.
Casey Mann, Ben McCarty, Jennifer McLoud-Mann, Ramona Ranalli, Nathan Smith, Distance in three-dimensional lattices, submitted to Journal of Discrete and Computational Geometry.
Thomas M. McCall, Charles J. Parry, Ramona R. Ranalli,
The
2-Class Group of Certain Number Fields, Houston Journal of Mathematics
volume 30, No. 1, 2004.
Thomas M. McCall, Charles J. Parry, Ramona R. Ranalli,The
2-rank of the Class Group of Imaginary
Bicyclic Biquadratic Fields, Canadian Journal of Mathematics, Vol. 49(2),
1997, 283-300.
Thomas M. McCall, Charles J. Parry, Ramona R. Ranalli,
Imaginary
Bicyclic Biquadratic Fields with Cyclic 2-Class Group, Journal of Number
Theory volume 53, Number 1, July 1995, 88-99.
Nathan Smith:
Casey Mann, Ben McCarty, Jennifer McLoud-Mann, Ramona Ranalli, Nathan Smith, Minimal Knotting Numbers, submitted to Journal of Knot Theory and its Ramifications.
Casey Mann, Ben McCarty, Jennifer McLoud-Mann, Ramona Ranalli, Nathan Smith, Distance in three-dimensional lattices, submitted to Journal of Discrete and Computational Geometry.
Conference Talks
Casey Mann, Ben McCarty, Jennifer McLoud-Mann, Ramona Ranalli, Nathan Smith, Distance in Three-Dimensional Lattices, Joint AMS-MAA Mathematics Meeting, AMS Session on Geometry and Topology, New Orleans, Louisiana, January 2007.
Casey Mann, Ben McCarty, Jennifer McLoud-Mann, Ramona Ranalli, and Nathan Smith, Minimal Knotting Numbers, Joint AMS-MAA Mathematics Meeting, AMS Session on Geometry and Topology, New Orleans, Louisiana, January 2007.
Ramona Ranalli and Jennifer McLoud-Mann, Initiating A Sonya Kovelevsky Day, Joint AMS-MAA Mathematics Meeting, MAA Session on Research and Other Mathematical Experiences for Students Outside the Classroom, New Orleans, Louisiana, January 2007.
Jennifer McLoud-Mann, Engaging Your Student Body Through Activities, Invited Talk, Texas Section Project NExT meeting, Sam Houston State University, Huntsville, Texas, October 2006.
Casey Mann, Jennifer McLoud-Mann, with Jenny Tompkins, How Knot Theory and DNA Do the Tangle, Invited Talk, Texas Undergraduate Mathematics Conference, Sam Houston State University, Huntsville, Texas, October 2005.
Rebecca Culshaw, Combining immunotherapy and antiviral treatment of HIV: A control-theoretic approach, Invited talk, The 29th annual SIAM Southeast Atlantic Section Meeting, The Citadel and the College of Charleston, March 25-26, 2005.
Jennifer
McLoud-Mann, On the equations defining Veronese rings of ideals, joint
work with Mark R. Johnson Texas Section MAA; Texas NExT Research Session
Arlington, Texas April 2005.
Casey
Mann, Lattice Knots and Cell Knots, joint work with Jennifer McLoud-Mann,
1004th AMS meeting; Special Session on Knot Theory and Its Applications,
Bowling Green, Kentucky, March 2005.
Debbie
Koslover, Western States Mathematical Physics Meeting, March 14, 2005.
Debbie
Koslover, Joint AMS-MAA Mathematics Meeting, AMS Special Session on Analysis
Problems in Modern Physics, January 5-8, 2005.
Jennifer
McLoud-Mann, Casey Mann, On the relationship between minimal lattice knots
and minimal cube knots, Texas Section MAA; Texas NExT Research Session ,
Corpus Christi, Texas, April 2004
Ramona Ranalli, The Inverse of Polynomial and
Power-Series Ring Isomorphisms in Positive Characteristic, Texas Section MAA
meeting, April, 2004.
Jennifer
McLoud-Mann, On a Certain Variety of Determinantal-like Ideals, Texas
Section MAA; Texas NExT Research Session, Huntsville, Texas, April 2003.
Jennifer
McLoud-Mann, On a Certain Family of Determinantal-like Ideals, Invited
Talk, 987th AMS
meeting; Special Session on Commutative Algebra, San Francisco, California May
2003.
Rebecca Culshaw, Control of HIV infection by maximising immune response, International Conference on Differential Equations with Applications to Biology, Cape Breton, Canada, August 2-6, 2002.
Rebecca Culshaw, Optimal control for therapy of HIV based on maximizing immune response, Annual meeting for the Society of Mathematical Biology, The University of Tennessee at Knoxville, July 12-16, 2002.
Rebecca Culshaw, Immune response models of HIV infection and treatment, Third Annual Bluenose Numerical Analysis Day, Dalhousie University, May 31, 2002.
Rebecca Culshaw, A delay-differential equation model of cell-to-cell spread of HIV, APICS 2000, Dalhousie University, Halifax, Nova Scotia.
Rebecca Culshaw, A delay-differential equation model of HIV infection of CD4+ T cells, International Conference on Differential Equations with Applications to Biology, Dalhousie University, July 25-29, 1997.
Rebecca Culshaw, A delay-differential equation model of
HIV infection in tissue cultures, International Conference on Mathematical
Models in Medical and Health Sciences, Vanderbilt University, May 28-31, 1997.
Faculty-Student
Research Presentations and Publications
Jennifer McLoud-Mann, with Shaun Williams, n-Colorings of Twist Knots, Presented by Shaun Williams, Texas Undergraduate Mathematics Conference, Sam Houston State University, Huntsville, Texas, October 2006.
Jennifer McLoud-Mann, Casey Mann, with Jenny Tompkins, Modeling DNA with Knot Theory: An Introduction, Rose-Hulman Undergraduate Mathematics Journal, Volume 7 (1), Spring 2006.
Jennifer McLoud-Mann, with Shaun Williams, n-Colorings of Twist Knots. In preparation.
Jennifer McLoud-Mann, with Jenny Tompkins, How Knot Theory and DNA Do the Tangle, Presented by Jenny Tompkins, MAA Texas Sectional Meeting, Wichita Falls, Texas, April 2006. Jenny won a prize for her presentation.
Jennifer McLoud, Casey Mann, with Jenny Tompkins, How Knot Theory and DNA Do the Tangle, Presented by Jenny Tompkins, LSAMP Undergraduate Student Research Conference Dallas, Texas September 2005. Jenny won second place for her presentation in her session!
Jennifer
McLoud, Casey Mann, with Ben McCarty, Minimal Knotting Numbers, Presented
by Ben McCarty, MAA Texas Sectional meeting Arlington, Texas April 2005.
Jennifer
McLoud, Casey Mann, with Ben McCarty, Minimal Lattice Knots, Presented by
Ben McCarty, LSAMP Undergraduate Student Research Conference El Paso, Texas
September 2004. Ben won third place for his presentation in his session!
Jennifer
McLoud-Mann, with Scarlet Worthen Ellis and Lesley Wilson, Symbolic Powers of
Edge Ideals, Rose-Hulman Undergraduate Mathematics Journal, Volume 5 (2),
Fall 2004.
Jennifer
McLoud, with Scarlet Worthen Ellis and Lesley Wilson, The Edgey Ideal of
Symbolic Powers, Presented by Lesley Wilson and Scarlet Worthen ,Texas
Section MAA, Corpus Christi, Texas , April 2004. These ladies won first
place for their presentation in their session!
Jennifer
McLoud, with Scarlet Worthen Ellis and Lesley Wilson, The Edgey Ideal of
Symbolic Powers, Presented by Lesley Wilson and Scarlet Worthen , 2004
Student Research Day; Poster session ,University of Texas at Tyler, April 2004.
Jennifer
McLoud, with Scarlet Worthen Ellis and Lesley Wilson, The Edgey Ideal of
Symbolic Powers, Presented by Lesley Wilson and Scarlet Worthen, Nebraska
Conference for Undergraduate Women in Mathematics , Lincoln, Nebraska , February
2004.
Casey Mann,
with
Emily Walker, Calvin Cole, Jared Cole, Diffraction from Non-Periodic Patterns
and 2D Quasicrystals, Research Day 2001 for Regional Universities University
of Central Oklahoma, Edmond, OK, Nov. 2001.
Faculty-Student
Research
Jennifer McLoud-Mann, with Shaun Williams, n-Colorings of Twist Knots, Summer 2006 (Funded by UT Tyler REU).
Jennifer McLoud, Casey Mann, with Jenny Tompkins, How Knot Theory and DNA Do the Tangle, Summer 2005 (Student funded by LSAMP).
Jennifer McLoud, Casey Mann, with Ben McCarty,
Minimal Lattice Knots,
Summer 2004 and Fall 2004 (Student funded by LSAMP).
Casey Mann, with Bobby Thomas, A Computerized Approach to Solving Heesch's Problem, Summer 2003 (Funded by the President's Faculty-Student Summer Research Program).
Jennifer McLoud, with Scarlet Worthen Ellis and Lesley
Wilson, Symbolic
The University of Texas at Tyler
Department of
Mathematics
3900 University Blvd
Tyler, TX 75799
Phone: 1-800-UT TYLER
Department of Mathematics: (903) 565-5839
E-mail: cmann@uttyler.edu
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The
University of Texas at Tyler
3900 University Blvd., Tyler, TX 75799 Tel: (903) 566-7000 |
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