Photograph of (L-R) Henry Heald (President of the Armour Institute of Technology), Ludwig Mies van der Rohe, and James Cunningham (chairman of... Show morePhotograph of (L-R) Henry Heald (President of the Armour Institute of Technology), Ludwig Mies van der Rohe, and James Cunningham (chairman of the Armour Institute of Technology Board of Trustees) at a banquet to honor Mies and his appointment as head of the Armour Institute's Department of Architecture at the Palmer House hotel. Photograph labeled as property of Public Relations. Show less
Ludwig Mies van der Rohe with students James Speyer (left), George Danforth (right), and other unidentified students at an architecture studio... Show moreLudwig Mies van der Rohe with students James Speyer (left), George Danforth (right), and other unidentified students at an architecture studio critique in 1939. Photographer unknown. Show less
Photograph of North Hall, located at 71 East 32nd Street, Chicago, Ill. The building was designed by Mittelbusher & Tourtelot, and was... Show morePhotograph of North Hall, located at 71 East 32nd Street, Chicago, Ill. The building was designed by Mittelbusher & Tourtelot, and was constructed in 1959. Date of photograph is unknown. Date range listed is approximate. Photographer unknown. Show less
Photograph of Engineering 1 building, designed by Myron Goldsmith of Skidmore, Owings & Merrill. The building is located at 10 West 32nd... Show morePhotograph of Engineering 1 building, designed by Myron Goldsmith of Skidmore, Owings & Merrill. The building is located at 10 West 32nd Street. The building was renamed John T. Rettaliata Engineering Center in 2015. Photographer unknown. Date of photograph is unknown. Date listed is approximate. Show less
Photograph of Architecture faculty with Dirk Lohan in S.R. Crown Hall (left to right: David Sharpe, San Utsnomiya, Peter Roesch, Dirk Lohan,... Show morePhotograph of Architecture faculty with Dirk Lohan in S.R. Crown Hall (left to right: David Sharpe, San Utsnomiya, Peter Roesch, Dirk Lohan, Paul Thomas, Burt Samuels). Photographer unknown. Date of photograph unknown. Date range listed is approximate. Show less
Photograph of the John J. Glessner House (1800 S. Prairie Ave.), a "Richardsonian Romanesque" mansion by H.H. Richardson completed in 1886.... Show morePhotograph of the John J. Glessner House (1800 S. Prairie Ave.), a "Richardsonian Romanesque" mansion by H.H. Richardson completed in 1886. The house was deeded to the Armour Institute of Technology, and was envisioned as the home of the institute's College of Architecture. The Glessner House served as the headquarters of the Lithographic Technical Foundation from 1946-1965. Photographer unknown. Show less
Unidentified student in the metalworking workshop at the Institute of Design. As photograph is undated, it may have been taken when the school... Show moreUnidentified student in the metalworking workshop at the Institute of Design. As photograph is undated, it may have been taken when the school was named Chicago School of Design (1939-1944). Photographer unknown. Date of photograph is unknown. Date range listed is approximate. 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
Exterior detail photograph of an Indiana Dunes guest house in the form of an icosahedron, comprised of prefabricated triangular panels. Date... Show moreExterior detail photograph of an Indiana Dunes guest house in the form of an icosahedron, comprised of prefabricated triangular panels. Date of photograph unknown. Date range listed is approximate. Show less
Photograph of the interior of an Indiana Dunes guest house in the form of an icosahedron, comprised of prefabricated triangular panels. Date... Show morePhotograph of the interior of an Indiana Dunes guest house in the form of an icosahedron, comprised of prefabricated triangular panels. Date of photograph unknown. Date range listed is approximate. Show less
Photograph of the exterior of an Indiana Dunes guest house in the form of an icosahedron, comprised of prefabricated triangular panels. Date... Show morePhotograph of the exterior of an Indiana Dunes guest house in the form of an icosahedron, comprised of prefabricated triangular panels. Date of photograph unknown. Date range listed is approximate. Show less