Department of Mathematics and Statistics at the Faculty of Science
University of Calgary
Renate Scheidler
- Professor
- Director of Graduate Studies
- Pure Mathematics
Research Interests
General:
Number Theory:
Currently Teaching
| F2012 - PMAT 418 - Introduction to Cryptography | ||||||||||
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Postdoctoral Fellows
- Qingquan Wu (2008-2010)
- Pieter Rozenhart (2009)
- Eric Landquist (2009)
- Stephane Lemieux (2004-2006)
- Roger Patterson (2004-2006)
Graduate Students
- Monireh Rezai Rad, PhD, Mathematics, Calgary (expected 2013)
- Perlas Caranay, PhD, Mathematics, Calgary (expected 2013)
- Colin Weir, PhD, Mathematics, Calgary (expected 2012)
- Vanessa Dixon, MSc, Mathematics, Calgary, 2011
- Adrian Tang, PhD, Mathematics, Calgary, 2011
- Perlas Caranay, MSc, Mathematics, Calgary, 2009
- Pieter Rozenhart, PhD, Mathematics, Calgary, 2009
- Eric Landquist, PhD, Mathematics, University of Illinois 2008
- Manisha Parmar, MSc, Computer Science, Calgary 2008
- Qingquan Wu, PhD, Mathematics, University of Illinois 2007
- Karel Bergmann, MSc, Computer Science, Calgary 2007
- Taysia Krivoruchko, MSc, Computer Science, Calgary 2007
- Nick Sullivan, MSc, Mathematics, Calgary 2007
- Daniel Weimer, Diplom, Mathematics, Technical University of Darmstadt 2004
- Richard Cannings, MSc, Mathematics & Computer Science, Calgary 2004 Brendan Oseen, MSc, Mathematics, Calgary 2003
Undergraduate Students
Booyarit Intiyot, BSc Honors, Mathematics, University of Delaware, 1998
Past Computer Science and Special Math Courses
CPSC 313 Introduction to Computability
CPSC 413 Design and Analysis of Algorithms I
CPSC 418 Introduction to Cryptography
CPSC 429 Applied Cryptography
MATH 401 Topics in Cryptography
PMAT 503.04 Modern Cryptography and Cryptanalysis
CPSC 601.09/629 Elliptic Curves and Cryptography
CPSC 669 Cryptography
Publications
Book Chapter
- Jacobson, Michael, Scheidler, Renate and Stein, Andreas. Fast arithmetic on hyperelliptic curves via continued fraction expansions Hackensack, New Jersey: World Scientific Publishing Co. Pte. Ltd., 2007. 201-244.
- Jacobson, Michael, Scheidler, Renate and Williams, Hugh. The efficiency and security of a real quadratic field-based key exchange protocol Berlin: de Gruyter & Co. Publishers, 2001. 89-112.
Conference Proceedings
- Rozenhart, Pieter and Scheidler, Renate. Tabulation of cubic function fields with imaginary and unusual Hessian 2008.
- Jacobson, Michael and Scheidler, Renate. An adaptation of the NICE cryptosystem to real quadratic orders 2008.
- Scheidler, Renate. Algorithmic aspects of cubic function fields 2004.
- Scheidler, Renate. Reduction in purely cubic function fields of unit rank one 2000.
- Scheidler, Renate and Stein, Andreas. Unit computation in purely cubic function fields of unit rank 1 (extended abstract) 1998.
- Scheidler, Renate. Compact representation in real quadratic congruence function fields 1996.
- Scheidler, Renate. Cryptography in real quadratic congruence function fields 1996.
- Scheidler, Renate, Buchmann, Johannes and Williams, Hugh. Implementation of a key exchange protocol using real quadratic fields (extended abstract) 1991.
Journal Paper
- Avanzi, Roberto, Jaobson, Michael and Scheidler, Renate. Efficient reduction of large divisors on hyperelliptic curves 4.2 2010. 261-279.
- Landquist, Eric, Rozenhart, Pieter, Scheidler, Renate, Webster, Jonathan and Wu, Qingquan. An explicit treatment of cubic function fields with applications 62.4 2010. 787-807.
- Caranay, Perlas and Scheidler, Renate. An efficient seventh power residue symbol algorithm 6.8 2010. 1831-1853.
- Wu, Qingquan and Scheidler, Renate. The ramification groups and different of a compositum of Artin-Schreier extensions 6.7 2010. 1542-1564.
- Jacobson, Michael, Scheidler, Renate and Stein, Andreas. Cryptographic aspects of real hyperelliptic curves 40.5 2010. 1-35.
- Bauer, Mark, Jacobson, Michael, Lee, Yoonjin and Scheidler, Renate. Construction of hyperelliptic function fields of high three-rank 77.261 2008. 503-530.
- Scheidler, Renate and Stein, Andreas. Approximating Euler products and class number computation in algebraic function fields 40.5 2008. 1689-1727.
- Jacobson, Michael, Scheidler, Renate and Stein, Andreas. Cryptographic protocols on real hyperelliptic curves 1.2 2007. 197-221.
- Scheidler, Renate and Stein, A.. Class number approximation in cubic function fields 2.2 2007. 107-132.
- Wu, Qingquan and Scheidler, Renate. An explicit treatment of biquadratic function fields 2.1 2007. 43-60.
- Jacobson, M.J., Scheidler, Renate and Williams, Hugh. An improved real quadratic field based key exchange procedure 19.2 2006. 211-239.
- Lee, Y. , Scheidler, Renate and Yarrish, C. . Computation of the fundamental units and the regulator of a cyclic cubic function field 12.2 2003. 211-225.
- Scheidler, Renate. Cryptography in quadratic function fields 22.3 2001. 239-264.
- Scheidler, Renate. Ideal arithmetic and infrastructure in purely cubic function fields 13.2 2001. 609-631.
- Scheidler, Renate. Purely cubic complex function fields with small units 95.4 2000. 289-304.
- Scheidler, Renate. Decision problems in quadratic function fields of high genus 16.2 2000. 411-423.
- Scheidler, Renate and Stein, A. . Voronoi's algorithm in purely cubic congruence function fields of unit rank 1 69.231 2000. 1245-1266.
- Scheidler, Renate. Purely cubic function fields with short periods 54.3-4 1999. 497-511.
- Scheidler, Renate. A public-key cryptosystem using purely cubic fields 11.2 1998. 109-124.
- Lukes, Richard F., Scheidler, Renate and Williams, Hugh. Further tabulation of the Erdos-Selfridge function 66.220 1997. 1709-1717.
- Scheidler, Renate, Stein, Andreas and Williams, Hugh. Key-exchange in real quadratic congruence function fields 7.1-2 1996. 153-174.
- Scheidler, Renate and Williams, Hugh. A public-key cryptosystem utilizing cyclotomic fields 6.2 1995. 117-131.
- Scheidler, Renate, Buchmann, Johannes and Williams, Hugh. A key exchange protocol using real quadratic fields 7.3 1994. 171-199.
- Scheidler, Renate and Williams, Hugh. A method of tabulating the number-theoretic function g(k) 59.199 1992. 251-257.
M.Sc. Thesis
Ph.D. Thesis
Research Groups
Degrees
- 1987 - Diplom (MSc/BSc) - Mathematics - University of Cologne
- 1993 - PhD - Computer Science - University of Manitoba
Students
Masters Students:
Ph.D. Students:
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