Catalog cover created by photographer Howard LeVant/LeVant Photography (other contributors unknown) for Dann-Dee Display. Date of catalog is... Show moreCatalog cover created by photographer Howard LeVant/LeVant Photography (other contributors unknown) for Dann-Dee Display. Date of catalog is unknown. Date range listed (1969-1978) is approximate. Title supplied by Howard LeVant. Show less
Photograph of a model and mannequins taken by photographer Howard LeVant/LeVant Photography for Dann-Dee Mannequins. Date range listed is... Show morePhotograph of a model and mannequins taken by photographer Howard LeVant/LeVant Photography for Dann-Dee Mannequins. Date range listed is approximate. Title supplied by Howard LeVant. Show less
Photograph taken by photographer Howard LeVant/LeVant Photography for National Boulevard Bank, depicting three actors as George Washington,... Show morePhotograph taken by photographer Howard LeVant/LeVant Photography for National Boulevard Bank, depicting three actors as George Washington, Thomas Jefferson, and Ben Franklin. Title supplied by Howard LeVant. Show less
Photograph of models and an abandoned building taken by Howard Levant for Shigeta-Wright. Date range listed is approximate. Title supplied by... Show morePhotograph of models and an abandoned building taken by Howard Levant for Shigeta-Wright. Date range listed is approximate. Title supplied by Howard LeVant. Show less
Cover of the National Boulevard Bank 1977 Annual Report by the Stern, Walter, and Simmons Agency, featuring a photograph by Howard LeVant... Show moreCover of the National Boulevard Bank 1977 Annual Report by the Stern, Walter, and Simmons Agency, featuring a photograph by Howard LeVant/LeVant Photography. Show less
Photograph taken by photographer Howard LeVant/LeVant Photography for the Ambassador East hotel in Chicago, Illinois. Date range listed is... Show morePhotograph taken by photographer Howard LeVant/LeVant Photography for the Ambassador East hotel in Chicago, Illinois. Date range listed is approximate. Title supplied by Howard LeVant. Show less
Poster for the Jewish Community Centers of Chicago Response Center, featuring photographs by Howard LeVant/LeVant Photography. Date range... Show morePoster for the Jewish Community Centers of Chicago Response Center, featuring photographs by Howard LeVant/LeVant Photography. Date range listed is approximate. Title supplied by Howard LeVant. Show less
Photograph by Howard LeVant/LeVant Photography used on a poster for Pallas Photo Labs. Date range listed is approximate. Title supplied by... Show morePhotograph by Howard LeVant/LeVant Photography used on a poster for Pallas Photo Labs. Date range listed is approximate. Title supplied by Howard LeVant. Show less
Photograph of Chicago Bears running back Walter Payton by Howard LeVant/LeVant Photography for the Chicago Tourism Council. Title supplied by... Show morePhotograph of Chicago Bears running back Walter Payton by Howard LeVant/LeVant Photography for the Chicago Tourism Council. Title supplied by Howard LeVant. Show less
Self-promotional New Year's advertisement by Howard LeVant/LeVant photography featuring a man dressed as Santa and a parody of "The Twelve... Show moreSelf-promotional New Year's advertisement by Howard LeVant/LeVant photography featuring a man dressed as Santa and a parody of "The Twelve Days of Christmas." Title supplied by Howard LeVant. Show less
Digitally modified photograph of a Swedish fishing village taken by photographer Howard LeVant as part of his Painting Technique series. Title... Show moreDigitally modified photograph of a Swedish fishing village taken by photographer Howard LeVant as part of his Painting Technique series. Title supplied by Howard LeVant. Show less
Digitally modified photograph of an abandoned home taken by photographer Howard LeVant in Penn Yan, New York as part of his Painting Technique... Show moreDigitally modified photograph of an abandoned home taken by photographer Howard LeVant in Penn Yan, New York as part of his Painting Technique series. Title supplied by Howard LeVant. Show less
Digitally modified photograph of what is likely a former mine company house taken by photographer Howard LeVant in Madrid, New Mexico as part... Show moreDigitally modified photograph of what is likely a former mine company house taken by photographer Howard LeVant in Madrid, New Mexico as part of his Painting Technique series. Title supplied by Howard LeVant. Show less
Digitally modified photograph of a Texaco service station taken by photographer Howard LeVant as part of his Painting Technique series. Title... Show moreDigitally modified photograph of a Texaco service station taken by photographer Howard LeVant as part of his Painting Technique series. Title supplied by Howard LeVant. Show less
This thesis consists of two parts. Part 1 is concerned with the study of random algebraic objects and Part 2 deals with statistical modeling... Show moreThis thesis consists of two parts. Part 1 is concerned with the study of random algebraic objects and Part 2 deals with statistical modeling for networks. Part 1 begins with the study of random monomial ideals. We define several models for generating random monomial ideals, illustrate their connection with models of random simplicial complexes, and study the behavior of various algebraic invariants of interest (e.g., Krull dimension and first Betti numbers) in the ER-type model. Next we consider a model for random numerical semigroups. In order to understand their properties, we introduce a family of simplicial complexes whose algebraic and combinatorial properties encode probabilistic information about random semigroups from the model. In Part 2, we introduce two exponential random graph models. The first is the shell distribution model. The sufficient statistics of this model are related to the k-cores of a network, which is a graph-theoretic concept designed to capture connectivity information in a more refined way than node degrees. We study the theoretical properties of the shell distribution model, develop an MCMC algorithm for sampling from the model, give an algorithm for sampling from the space of graphs with a fixed shell distribution, and present several simulation studies. The second model is the edge-degeneracy model, whose sufficient statistics are related to the density of edges in the graph. For this model, we prove several theoretical results concerning the model polytope and how it governs the asymptotic behavior of the model as the parameters diverge along infinite rays. Ph.D. in Applied Mathematics, May 2018 Show less