Ramin Naimi - Department of mathematics, Occidental College, Los Angeles, CA 90041-3314
Education 1992, California Institute of Technology, Ph.D. in Mathematics. 1987, University of California, Los Angeles, B.S. in Mathematics
Research Interests Spatial Graph Theory; Knot Theory; 3-Manifold Topology
Employment
1998- Occidental College: Professor (2010-); Associate Professor (2003-2010); Assistant Professor (1998-2003). 1997 (fall) Pomona College: Lecturer. 1995-98 University of California, Davis: Visiting Research Assistant Professor. 1994-95 University of Texas, Austin: Lecturer. 1993-94 IHES (Institute des Hautes Etudes Scientifique): Postdoctoral position. 1992-93 Technion-Israel Institute of Technology: Council of Higher Education Postdoctoral Fellowship. 1984-87 University of California, Los Angeles: Academic Advancement Program; Physics tutor for minority students.
Presentations
PNW MAA conference, Juneua, Alaska (2011); International Workshop on Spatial Graphs, Tokyo, Japan (2010); CSU Chico (2010); CMI, Universite de Provence, Marseille, France (2010); CSU Chanel Islands (2010); MathFest, Portland, Oregon (2009); Knots in Washington XXVII (2009); Brown University (2008); Fourth International Conf. of Appl. Math. and Computing, Bulgaria (2007); CSU Los Angeles (2007); Caltech (2006); CSU Long Beach (2006); Pomona College (2006); Southern Oregon University (2006); Waseda University, Tokyo, Japan (2004); University of North Carolina, Chapel Hill (2003); Caltech (2002), MAA/AMS Joint Meeting in San Diego (2002); UC Riverside (2002), Caltech (2000), UC Santa Barbara (2000); Pepperdine University (1998); Pomona College (1997); UC Davis (1996); University of Georgia, Athens (1995); University of Texas, Austin (1995); Ecole Normal Superior, France (1994); University of Ber-Sheva, Israel (1993); University of Southern California (1993); University of Tennessee, Knoxville (1992).
Awards and Grants
2010 MAA George Pólya Award. 2009-2012 NSF Research Grant, DMS-0905300. 1991-92 Caltech Alfred P. Sloan Doctoral Dissertation Fellowship . 1992 (June) Caltech W. P. Carey Award for Ph.D. thesis in Mathematics. 1987-88 Caltech Earl C. Anthony Graduate Fellowship. 1987 (June) UCLA Departmental Highest Honors; Magna Cum Laude; Phi Beta Kappa.
Refereed Publications
Recent Developments in Spatial Graph Theory (survey article, join with Erica Flapan, Thomas Mattman, Blake Mellor, Ryo Nikkuni). Contemporary Mathematics, Vol. 689, American Mathematical Society, (2017). arXiv:1602.08122 ams.org/books/conm/689
On the number of links in a linearly embedded $K_{3,3,1}$ (with Elena Pavelescu). J. Knot Theory and its Ramifications, Vol. 24 (2015) 1550041 (21 pages). DOI: 10.1142/S0218216515500418 . arXiv:1207.0572
Deleting an edge of a 3-cycle in an intrinsically knotted graph gives an intrinsically linked graph (joint with Elena Pavelescu and Hannah Schwartz). J. Knot Theory and its Ramifications, 23 (2014), no.14, 1450075 (6 pages). arXiv:1407.0297
Many, many more minor minimal intrinsically knotted graphs (with Noam Goldberg* and Thomas Mattman). Algebraic & Geometric Topology, 14 (2014) 1801-1823. DOI: 10.2140/agt.2014.14.1801 . arXiv:1109.1632 ; Appendix
Linear embeddings of $K_9$ are triple linked (with Elena Pavelescu). J. Knot Theory and its Ramifications. February 2014, Vol. 23, No. 2. DOI: 10.1142/S0218216514200016. arXiv:1202.1613
An algorithm for detecting intrinsically knotted graphs (with Jonathan Miller*). Experimental Mathematics, 23:1 (2014) 6-12. DOI: 10.1080/10586458.2014.852033. arXiv:1109.1030
Classification of topological symmetry groups of $K_n$ (with Erica Flapan, Blake Mellor, Michael Yoshizawa). Topology Proceedings, 43 (2014) pp. 209-233. arXiv:1205.1560
Induced subgraphs of Johnson graphs (with Jeffrey Shaw*). Involve, a Journal of Mathematics 5-1 (2012), 25--37. DOI: 10.2140/involve.2012.5.25. arXiv:1008.0595
List coloring and n-monophilic graphs (with Radoslav Kirov) To appear, Ars Combinatoria 124 (2016), 329-340. arXiv:1004.5183
Spatial graphs with local knots (with Erica Flapan, Blake Mellor) Revista Matemática Complutense, Vol. 25, No. 2 (2012), p. 493-510. DOI: 10.1007/s13163-011-0072-9. arXiv:1010.0479
Complete graphs whose topological symmetry groups are polyhedral (with Erica Flapan, Blake Mellor). Algebraic & Geometric Topology, 11 (2011) 1405-1433. arXiv:1008.1095
Topology Explains Why Automobile Shades Fold Oddly (with Curtis Feist). College Mathematics Journal, Vol. 40, No. 2 (Mar 2009), p. 93-98. arXiv:1205.4797
Intrinsic linking and knotting are arbitrarily complex (with Erica Flapan, Blake Mellor). Fundamenta Mathematicae, Vol. 201 (2008), p.131-148. arXiv:math/0610501
The Y-triangle move does not preserve intrinsic knottedness (with Erica Flapan). Osaka Journal of Mathematics, Vol. 45, No. 1 (2008), 107-111. arXiv:1205.4798
Topological symmetry groups of complete graphs in the 3-sphere. J. London Math. Soc. (2) 73 (2006) 237-251 (with Erica Flapan, Harry Tamvakis) (pdf file).
Topological symmetry groups of embedded graphs in the 3-sphere (pdf file) (with Erica Flapan, James Pommersheim, Harry Tamvakis). Commentarii Math. Helv. Vol. 80 (2005) 317-354.
Maximizing the Chances of a Color Match. Mathematics Magazine, Vol. 78, No. 2 (Apr 2005), 132-137. (pdf file)(Supplement) (with Roberto Pelayo*)
Almost Alternating Harmonic Series. College Mathematics Journal, Vol. 35, No. 3 (2004) 183-191. (pdf file) (with Curtis Feist)
Intrinsically n-linked graphs. Journal of Knot Theory and Its Ramifications, Vol. 10, No. 8 (2001) 1143-1154. (pdf file) (with Erica Flapan, Joel Foisy, and James Pommersheim)
Intrinsically triple linked complete graphs. Topology and Its Applications 115 (2001) 239-246. (pdf file) (with Erica Flapan and James Pommersheim)
Essential laminations in graph manifolds, J. of Differential Geometry 45 (1997) 446-470. (with Mark Brittenham and Rachel Roberts)
Constructing essential laminations in 2-bridge knot surgered 3-manifolds, Pacific J. of Math. 180 (1997) 153-186.
Foliations transverse to fibers of Seifert manifolds, Commentarii Math. Helv., 69 (1994) 155-162. (pdf file)
Constructing essential laminations in 3-manifolds obtained by surgery on 2-bridge knots, Contemporary Math., 164 (1994) 183-186.
* Undergraduate co-author
Non-refereed publications, preprints, and works in progress
Intrinsic linking and knotting are arbitrarily complex in directed graphs.
A generalization of Conolly's sequence.
On intrinsically knotted and linked graphs (survey paper). Preprint.
Escher squares and Lattice Links (with Andrei Pavelescu, Elena Pavelescu), Preprint. arXiv:1804.04724
A tree that's not a tree. Mathematics Magazine, Vol. 79, No. 5, (Dec 2006), p. 367. (picture)