Anthony Macula
Professor of MathematicsAnthony Macula has been a member of the Geneseo faculty since 1993.
Office Hours
 Tu/Th: 2:30  4:00
 or by appointment
Curriculum Vitae
Education
B.S., State University of New York at Plattsburgh, 1983
Ph.D., Wesleyan University, 1989
Publications
PCR Nonadaptive Group Testing of DNA Libraries for Biomolecular Computing and Taggant Applications, Discrete Mathematics, Algorithms and Applications, Volume: 1, Issue 1(March 2009), 59  69 (with former student Morgan Bishop et al.)
Successful preparation and analysis of a 5site 2variable DNA library, Natural Computing, 8 (2009), no. 2, 333?347
ErdosRenyi like uniform vaccination bound for a smallworld network 2D lattice. Bull. Inst. Combin. Appl. 56 (2009) (with students Daniel Marcus and Jordan Rogers)
Random Coding Bounds for DNA Codes Based on Fibonacci Ensembles of DNA Sequences, 2008 IEEE Proceedings of International Symposium on Information Theory, pp. 2292  2296
Hypothesis group testing for disjoint pairs, Journal Combinatorial Optimization, 15, 2008, 716 (with student Vladmir Ufimstev)
Nonadaptive and trivial twostage group testing with errorcorrecting (d,e)disjunct inclusion matrices. Entropy, search, complexity, 71?83, Bolyai Soc. Math. Stud., 16, Springer, Berlin, 2007.
New, improved, and practical kstem sequence similarity measures for probe design, Journal of Computational Biology, 2008 Jun;15(5):52534 (with former student Morgan Bishop)
Free energy gap and statistical thermodynamic fidelity of DNA codes. J. Comput. Biol. 14 (2007), no. 8, 1088?1104 (with former student Morgan Bishop)
DNA Codes Based on Stem Similarities Between DNA Sequences, DNA 13, Memphis, TN. Springer Lecture Notes in Computer Science, Volume 4848 (2008) 146151.
Component averages in subgraphs of circulantlike graphs. Bull. Inst. Combin. Appl. 51 (2007), 55?68 (with students Jacqueline Dresch and Niels Hansen)
Group testing to annihilate pairs applied to DNA crosshybridization elimination using SYBR Green I. J. Comput. Biol. 14 (2007), no. 1, 84?96 (with students Kayla Nimmo, Lauren Wood, Morgan Bishop)
Network structure, and vaccination strategy and effort interact to affect the dynamics of influenza epidemics, J. Theor. Biol. 2007 May 21;246(2):20513 (with students Jacqueline Dresch, Amy Zielski)
New tgap insertiondeletionlike metrics for DNA hybridization thermodynamic modeling. J. Comput. Biol. 13 (2006), no. 4, 866?881
Experimental validation of DNA sequences for DNA computing: Use of a SYBR green I assay, Proceedings DNA 11, London, Ont. Springer Lecture Notes in Computer Science, Volume 3892 (2006) 248256
A Weighted InsertionDeletion Stacked Pair Thermodynamic Metric for DNA Codes, Lecture Notes in Computer Science, SpringerVerlag , Volume 3384, 90103 (2005)
A group testing method for finding patterns in data, Discrete Appl. Math. 144, 149157, 2004
Exordium for DNA codes, J. Comb. Optim. 7, no. 4, 369379, 2004
Trivial twostage group testing with high error rates, J. Comb. Optim. 7, no. 4, 361369. 2004
Trivial twostage group testing for complexes using almost disjunct matrices, Discrete Applied Mathematics, Volume 137, Issue 1, 27 February 2004, Pages 97107
Onestage balance scale searching with errors, Bulletin of the Institute of Combinatorics and its Applications 38, 7683, 2004 (with student Charles Engelhart)
Trivial twostage group testing for complexes using almost disjunct matrices. 1st International Workshop on Combinatorics of Searching, Sorting, and Coding (COSSAC '01) (Ischia). Discrete Appl. Math. 137 (2004), no. 1, 97?107.
Families of finite sets in which no intersection of l sets is covered by the union of s others. J. Combin. Theory Ser. A 99 (2002), no. 2, 195?218.
Probabilistic nonadaptive group testing in the presence of errors and inhibitors. Recent advances in experimental designs and related topics (Philadelphia, PA, 1999), 73?85, Nova Sci. Publ., Huntington, NY, 2001
Two models of nonadaptive group testing for designing screening experiments. mODa 6?advances in modeloriented design and analysis (Puchberg/Schneeberg, 2001), 63?75, Contrib. Statist., Physica, Heidelberg, 2001
Twostage group testing for complexes in the presence of errors. Discrete mathematical problems with medical applications (New Brunswick, NJ, 1999), 145?157, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 55, Amer. Math. Soc., Providence, RI, 2000
A new data mining technique for the analysis of simulated genetic data, Proceedings of Genetic Analysis Workshop 12, WileyLiss, 2001; Genetic Epidemiology, 21 Suppl. 1: S3905
New constructions of superimposed codes. IEEE Trans. Inform. Theory 46 (2000), no. 1, 284?290
Probabilistic nonadaptive group testing in the presence of errors and DNA library screening. Combinatorics and biology (Los Alamos, NM, 1998). Ann. Comb. 3 (1999), no. 1, 61?69
A Combinatorial Profiling Model for Intrusion Detection and Analysis, IEEE Conference on Information Assurance and Security, West Point, NY, 2000, 4752.
On the probability that subset sequences are minimal. Discrete Math. 207 (1999), no. 13, 285?289. (with student Dung Le)
New applications and results of superimposed code theory arising from the potentialities of molecular biology. Numbers, information and complexity (Bielefeld, 1998), 265?282, Kluwer Acad. Publ., Boston, MA, 2000
Nonadaptive and TwoStage Group Testing with Relatively Small Pools and DNA Library Screening, Journal of Combinatorial Optimization, 2, 385397 (1999)
An analysis of the lines in the three dimensional affine space over F3, Ars Combinatoria, 53, 1999, 161171
Simplified searching for two defects. J. Statist. Plann. Inference 66 (1998), no. 1, 77?82 (with student George Reuter)
Errorcorrecting nonadaptive group testing with (d,e)disjunct matrices. Discrete Appl. Math. 80 (1997), no. 23, 217?222
Using generating functions to compute allowable plane separations by nearly simple arrangements. Bull. Inst. Combin. Appl. 21 (1997), 104?107 (with student Lisa Orloff)
A nonadaptive search algorithm that identifies up to three defects. J. Statist. Plann. Inference 60 (1997), no. 2, 269?272.
A nonadaptive version of Ulam's problem with one lie. J. Statist. Plann. Inference 61 (1997), no. 1, 175?180
Two applications of separating systems to nonadaptive procedures. Discrete Math. 169 (1997), no. 13, 257?262,
Using separating systems to extract subfamilies of set systems with minimum Hamming distance three and four. Bull. Inst. Combin. Appl. 19 (1997), 118?120
A simple construction of ddisjunct matrices with certain constant weights. Discrete Math. 162 (1996), no. 13, 311?312
Lewis Carroll and the enumeration of minimal covers. Math. Mag. 68 (1995), no. 4, 269?274.
The pointslope formula leads to the Fundamental Theorem of Calculus, College Mathematics Journal, 26, No. 2, 135139 (1995)
Covers of a finite set, Mathematics Magazine 67 no. 2, 141144 (1994).
Quantifying order in plane separation problems, Journal of Recreational Mathematics, 26, no. 4, 267273 (1994) (with student Cindy Musante)
On kbounded and qweakly regular separating systems. Proceedings of the Twentyfifth Southeastern International Conference on Combinatorics, Graph Theory and Computing (Boca Raton, FL, 1994). Congr. Numer. 104 (1994)
Average search lengths of predetermined algorithms with very small question set intersections. Proceedings of the Twentyfourth Southeastern International Conference on Combinatorics, Graph Theory, and Computing (Boca Raton, FL, 1993). Congr. Numer. 97 (1993), 91?98
Heads or tails? A dual approach to a counterfeit coin problem. Proceedings of the Twentyfourth Southeastern International Conference on Combinatorics, Graph Theory, and Computing (Boca Raton, FL, 1993). Congr. Numer. 96 (1993), 3?9.
?Dedekind complete Archimedean vector lattices versus quasiF spaces. Proceedings of the Symposium on General Topology and Applications (Oxford, 1989). Topology Appl. 44 (1992), no. 13, 217?234.
Free ?extensions of an Archimedean vector lattice and their topological duals. Trans. Amer. Math. Soc. 332 (1992), no. 1, 437?448.
Monic sometimes means ?irreducible. General topology and applications (Staten Island, NY, 1989), 239?260, Lecture Notes in Pure and Appl. Math., 134, Dekker, New York, 1991.
An ?disconnected space has no proper monic preimage. Topology Appl. 37 (1990), no. 2, 141?151.
Archimedean vector lattices versus topological spaces with filters. Thesis (Ph.D.)?Wesleyan University. 1989. 158 pp
Research Interests
I have published papers with significant content in the following areas: AntiCounterfeiting, Biomolecular Computing, Genomics, Disease Transmission, Group Testing, Search Theory, Information Theory, Combinatorics, Coding Theory, Computer Security, Statistics, Probability, Finite Geometry, Topology, Category Theory and Math Education. Most of the papers below have coauthors (over 40 in total, including 14 undergrads). My Erdos number is 3. I have been the Project Director for 13 externally funded research grants totaling 2.5 million dollars. I've been a reviewer for several journals, the National Science Foundation and I am an associate editor for the journal Discrete Mathematics Algorithms and Applications. In 2007, I received the SUNY Research Foundation Excellence in Research Award.
Classes

MATH 221: R/Calculus I
Topics studied are limits and continuity; derivatives and antiderivatives of the algebraic and trigonometric functions; the definite integral; and the fundamental theorem of the calculus. Prerequisites: MATH 112 or Precalculus with trigonometry or the equivalent. Offered every semester

MATH 315: Combinatorics
As calculus seeks to develop proficiency in analysis problem solving, the aim of this course is to develop proficiency in basic combinatorial problem solving and reasoning. Topics include: Enumeration, generating functions, sieve formulas, recurrence relations, graph theory, network analysis, trees, search theory, and block designs. Prerequisites: MATH 222, MATH 233 and either MATH 237 or MATH 239. Offered fall, even years