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Rose Hulman Institute of Technology: Terre Haute, IN, US

2021-09-01 | Endowed Chair for Innovation in Science, Engineering, and Mathematics Education
Distinction
Source: Self-asserted source
Joshua Holden

Works (35)

Alkaline: A Simplified Post-Quantum Encryption Algorithm for Classroom Use

PRIMUS
2024-01-02 | Journal article
DOI: 10.1080/10511970.2023.2235696
Contributors: Joshua Holden
Source: check_circle
Crossref

Between the Two Cultures: Teaching Math and Art to Engineers (and Scientists and Mathematicians)

Proceedings of Bridges 2023: Mathematics, Art, Music, Architecture, Culture
2023 | Conference paper
Part of ISBN: 978-1-938664-45-8
Part of ISSN: 1099-6702
Contributors: Holden, Joshua; Holdener, Judy; Torrence, Eve; Fong, Chamberlain; Seaton, Katherine
Source: Self-asserted source
Joshua Holden

Resource guide for teaching post-quantum cryptography

Cryptologia
2023 | Journal article
DOI: 10.1080/01611194.2022.2078077
WOSUID: WOS:000827574800001
Contributors: Holden, Joshua
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Monsters in the hollow: counting Naiki braid patterns using de Bruijn's Monster theorem

Journal of Mathematics and the Arts
2023-04-03 | Journal article
DOI: 10.1080/17513472.2023.2202946
Contributors: Joshua Holden
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Crossref

Changing Spots: Using Combinatorics to Count Japanese Braiding Patterns

Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture
2022 | Conference paper
Part of ISBN: 978-1-938664-42-7
Part of ISSN: 1099-6702
Contributors: Holden, Joshua; Reimann, David; Norton, Douglas; Torrence, Eve
Source: Self-asserted source
Joshua Holden

Markov Chains and Egyptian Tombs: Generating “Egyptian” Tablet Weaving Designs Using Mean-Reverting Processes

Proceedings of Bridges 2021: Mathematics, Art, Music, Architecture, Culture
2021 | Conference paper
Part of ISBN: 978-1-938664-39-7
Part of ISSN: 1099-6702
Contributors: Holden, Joshua; Swart, David; Farris, Frank; Torrence, Eve
Source: Self-asserted source
Joshua Holden

Music by the numbers: from pythagoras to Schoenberg

Journal of Mathematics and the Arts
2021-01-02 | Journal article
DOI: 10.1080/17513472.2020.1846961
Contributors: Joshua Holden
Source: check_circle
Crossref

Counting Fixed Points and Rooted Closed Walks of the Singular Map x -> x(xn) Modulo Powers of a Prime

P-adic Numbers Ultrametric Analysis and Applications
2020 | Journal article
DOI: 10.1134/S2070046620010021
WOSUID: WOS:000519374300002
Contributors: Holden, Joshua; Richardson, Pamela A.; Robinson, Margaret M.
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Markov Chains, Coptic Bananas, and Egyptian Tombs: Generating Tablet Weaving Designs Using Mean-Reverting Processes

Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture
2020 | Conference paper
Part of ISBN: 978-1-938664-36-6
Part of ISSN: 1099-6702
Contributors: Holden, Joshua; Yackel, Carolyn; Bosch, Robert; Torrence, Eve; Fenyvesi, Kristóf
Source: Self-asserted source
Joshua Holden

A Survey of Cellular Automata in Fiber Arts

Handbook of the Mathematics of the Arts and Sciences
2019 | Journal article
DOI: 10.1007/978-3-319-70658-0_54-1
Contributors: Joshua Holden; Lana Holden
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Rock Me Fibonacci: Using Recurrence Relations and State-Transition Matrices to Count Rock Drum Fill Patterns

Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture
2018 | Conference paper
Part of ISBN: 978-1-938664-27-4
Part of ISSN: 1099-6702
Contributors: Holden, Joshua; Torrence, Eve; Torrence, Bruce; Séquin, Carlo; Fenyvesi, Kristóf
Source: Self-asserted source
Joshua Holden

The Complexity of Braids, Cables, and Weaves Modeled with Stranded Cellular Automata

Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture
2017 | Conference paper
Part of ISBN: 978-1-938664-22-9
Part of ISSN: 1099-6702
Contributors: Holden, Joshua; Swart, David; Séquin, Carlo H.; Fenyvesi, Kristóf
Source: Self-asserted source
Joshua Holden

Modeling Braids, Cables, and Weaves with Stranded Cellular Automata

Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture
2016 | Conference paper
Part of ISBN: 978-1-938664-19-9
Part of ISSN: 1099-6702
Contributors: Holden, Joshua; Holden, Lana; Torrence, Eve; Torrence, Bruce; Séquin, Carlo; McKenna, Douglas; Fenyvesi, Kristóf; Sarhangi, Reza
Source: Self-asserted source
Joshua Holden

Statistics for fixed points of the self-power map

ArXiv
2015 | Journal article
DOI: 10.2140/INVOLVE.2019.12.63
WOSUID: PPRN:18914357
Contributors: Friedrichsen, Matthew; Holden, Joshua
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Hyperbolic Tilings with Truly Hyperbolic Crochet Motifs

Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture
2014 | Conference paper
Part of ISBN: 978-1-938664-11-3
Part of ISSN: 1099-6702
Contributors: Holden, Joshua; Holden, Lana; Greenfield, Gary; Hart, George; Sarhangi, Reza
Source: Self-asserted source
Joshua Holden

A Good Hash Function is Hard to Find, and Vice Versa

Cryptologia
2013 | Journal article
DOI: 10.1080/01611194.2012.687429
WOSUID: WOS:000322151800002
Contributors: Holden, Joshua
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Demitasse: A "Small" Version of the Tiny Encryption Algorithm and Its Use in a Classroom Setting

Cryptologia
2013 | Journal article
DOI: 10.1080/01611194.2012.660237
WOSUID: WOS:000315984900005
Contributors: Holden, Joshua
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COUNTING FIXED POINTS, TWO-CYCLES, AND COLLISIONS OF THE DISCRETE EXPONENTIAL FUNCTION USING p-ADIC METHODS

Journal of the Australian Mathematical Society
2012 | Journal article
DOI: 10.1017/S1446788712000262
WOSUID: WOS:000311401300004
Contributors: Holden, Joshua; Robinson, Margaret M.
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The Graph Theory of Blackwork Embroidery

Making Mathematics with Needlework
2007-12-12 | Book chapter
DOI: 10.1201/b10652-16
Part of ISBN: 9780429186455
Source: Self-asserted source
Joshua Holden via Crossref Metadata Search

Some heuristics and results for small cycles of the discrete logarithm

Mathematics of Computation
2006 | Journal article
WOSUID: WOS:000235146400021
Contributors: Holden, J; Moree, P
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Distribution of values of real quadratic zeta functions

Unusual Applications of Number Theory
2004 | Journal article
WOSUID: WOS:000224833300011
Contributors: Holden, J
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First-hit analysis of algorithms for computing quadratic irregularity

Mathematics of Computation
2004 | Journal article
DOI: 10.1090/S0025-5718-03-01593-X
WOSUID: WOS:000189362000025
Contributors: Holden, J
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New conjectures and results for small cycles of the discrete logarithm

Asymptotic Methods in Stochastics
2004 | Journal article
DOI: 10.1090/FIC/041/20
WOSUID: WOS:000223282500020
Contributors: Holden, J; Moree, P
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Addenda/Corrigenda: Fixed Points and Two-cycles of the Discrete Logarithm

ArXiv
2002 | Journal article
WOSUID: PPRN:22789535
Contributors: Holden, Joshua
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Comparison of algorithms to calculate quadratic irregularity of prime numbers

Mathematics of Computation
2002 | Journal article
WOSUID: WOS:000173747000025
Contributors: Holden, J
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Fixed points and two-cycles of the discrete logarithm

Lecture Notes in Computer Science
2002 | Journal article
DOI: 10.1007/3-540-45455-1_32
WOSUID: WOS:000180068300032
Contributors: Holden, J
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A COMPARISON OF CRYPTOGRAPHY COURSES

Cryptologia
Journal article
DOI: 10.1080/0161-110491892809
Source: Self-asserted source
Joshua Holden

A statistical look at maps of the discrete logarithm (abstract only)

ACM Communications in Computer Algebra
Journal article
DOI: 10.1145/1394042.1394070
Source: Self-asserted source
Joshua Holden

Abelian varieties over finite fields with a specified characteristic polynomial modulo \ell

Journal article
DOI:

10.5802/jtnb.439

WOSUID: PPRN:20248364
Source: Self-asserted source
Joshua Holden
grade
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Distribution of the error in estimated numbers of fixed points of the discrete logarithm

Journal article
DOI:

10.1145/1060328.1060329
Source: Self-asserted source
Joshua Holden

Mapping the discrete logarithm

Journal article
DOI:

10.2140/involve.2010.3.197
Source: Self-asserted source
Joshua Holden

Notes on an analogue of the Fontaine-Mazur conjecture

Journal article
DOI:

10.5802/jtnb.416
Source: Self-asserted source
Joshua Holden

On the Fontaine–Mazur Conjecture for Number Fields and an Analogue for Function Fields

Journal article
DOI:

10.1006/jnth.1999.2434
Source: Self-asserted source
Joshua Holden
grade
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Review of Complexity and Cryptography: An Introduction by John Talbot and Dominic Welsh

Journal article
DOI:

10.1080/01611190701582619
Source: Self-asserted source
Joshua Holden
grade
Preferred source (of 2)‎

Underwater Hacker Missile Wars: A Cryptography and Engineering Contest

Journal article
DOI:

10.1080/01611190500401144
Source: Self-asserted source
Joshua Holden

Peer review (33 reviews for 9 publications/grants)

Review activity for Cluster computing. (1)
Review activity for Cryptologia. (18)
Review activity for Finite fields and their applications. (1)
Review activity for Integers. (1)
Review activity for Journal of mathematics and the arts. (5)
Review activity for Leonardo. (1)
Review activity for PRIMUS : (3)
Review activity for Publicationes mathematicae / (1)
Review activity for The American mathematical monthly. (2)
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