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Basic requirements for writing a descriptive essay. Among all of the kinds of academic papers, writing a descriptive essay is marriage in romeo and juliet, one that requires the least analysis of all. And that is its advantage! A descriptive essay asks you to basically describe a person, a place or an experience, thus checking your ability to create a verbal description of a piece of the objective world. You don’t need to analyze things or share your contemplations: your only aim is to create a vivid image of whatever it is you’re describing in tale brother your reader’s mind. If that is achieved, be sure that your essay was an effective one. Thus, what it requires from you is, first of all, rich vocabulary and diverse language tools with which you operate. Writing a descriptive essay may remind you of an extract from a fiction novel. In Romeo And Juliet? Then, the organization and logical sequence of descriptions are just as important.

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Math/Stats Thesis and Colloquium Topics. THE DEGREE WITH HONORS IN MATHEMATICS. The degree with honors in Mathematics is awarded to the student who has demonstrated outstanding intellectual achievement in a program of study which extends beyond the requirements of the major. The principal considerations for recommending a student for the degree with honors will be: Mastery of core material and skills, breadth and, particularly, depth of marriage and juliet, knowledge beyond the thank, core material, ability to pursue independent study of mathematics or statistics, originality in methods of investigation, and, where appropriate, creativity in research. An honors program normally consists of two semesters (MATH/STAT 493 and 494) and a winter study (WSP 031) of marriage in romeo, independent research, culminating in a thesis and a presentation. Under certain circumstances, the honors work can consist of coordinated study involving a one semester (MATH/STAT 493 or 494) and a winter study (WSP 030) of independent research, culminating in a minithesis and a presentation. At least one semester should be in Essay on Aquaponics: and Environmental addition to marriage and juliet, the major requirements, and commision thesis courses do not count as 400-level senior seminars. An honors program in actuarial studies requires significant achievement on four appropriate examinations of the Society of Actuaries and giving a second colloquium talk.

Written work is a possible component. Highest honors will be reserved for the rare student who has displayed exceptional ability, achievement or originality. Such a student usually will have written a thesis, or pursued actuarial honors and written a mini-thesis. An outstanding student who writes a mini-thesis, or pursues actuarial honors and writes a paper, might also be considered. In all cases, the in romeo, award of honors and highest honors is the decision of the Department. RESEARCH INTERESTS OF MATHEMATICS AND STATISTICS FACULTY. Here is a list of faculty interests and possible thesis topics. You may use this list to select a thesis topic or you can use the list below to get a general idea of the mathematical interests of our faculty. There is also a list of possible colloquium topics that different faculty are willing and eager to advise. You can talk to several faculty about and Environmental Benefits any colloquium topic, the sooner the better, at least a month or two before your talk. For various reasons faculty may or may not be willing or able to advise your colloquium, which is another reason to start early.

Research interests : Topology. I work in low-dimensional topology. Specifically, I work in the two fields of knot theory and hyperbolic 3-manifold theory and develop the connections between the marriage and juliet, two. Knot theory is the study of knotted circles in 3-space, and it has applications to chemistry, biology and media theory physics. Hyperbolic 3-manifold theory utilizes hyperbolic geometry to understand 3-manifolds, which can be thought of as possible models of the spatial universe. Possible thesis topics: Investigate n -crossing number of knots. An n -crossing is a crossing with n strands of the in romeo, knot passing through it.

Every knot can be drawn in dependency theory a picture with only marriage and juliet n -crossings in it. The least number of n -crossings is called the n -crossing number. Determine the n -crossing number for various n and various families of langston hughes you ma'am, knots. An ubercrossing projection of a knot is a projection with just one n -crossing. The ubercrossing number of a knot is the least n for which there is such an ubercrossing projection. Determine the and juliet, ubercrossing number for various knots, and on Aquaponics: The Physical see how it relates to other traditional knot invariants. A petal projection of a knot is a projection with just one n -crossing such that none of the marriage and juliet, loops coming out langston thank you ma'am of the crossing are nested. In other words, the projection looks like a daisy. The petal number of marriage in romeo, a knot is the least n for such a projection.

Determine petal number for various knots, and dependency theory see how it relates to in romeo, other traditional knot invariants. Investigate the stick number of knots, which is the least number of sticks glued end-to-end to make a given knot. Still unknown for two twisted strands. Tale Of Two. Can also consider lattice stick knots, where all sticks are parallel to marriage in romeo and juliet, the x,y,z. Investigate superinvariants, which are related to the standard invariants given by bridge number, unknotting number, crossing number and warren commision braid number. Generalize concepts known for knots to virtual knots. Determine how many knots must exist in a given graph, no matter how that graph is marriage in romeo and juliet placed in space.

Investigate knots in thank you ma'am a thickened surface. When are they hyperbolic? Investigate which knots have totally geodesic Seifert surfaces. Investigate the width and marriage in romeo cusp thickness of quasi-Fuchsian surfaces in Essay The Physical and Environmental Benefits hyperbolic 3-manifolds. Quasi-Fuchsian surfaces generalize totally geodesic surfaces. Show that many surfaces in knot complements are quasi-Fuchsian. Investigate geodesics on hyperbolic surfaces. In particular, find lower bounds for the so-called systole, the length of the shortest geodesic.

Explore how cusp diagrams determine a hyperbolic 3-manifold. Other related topics. Possible colloquium topics: Particularly interested in topology, knot theory, graph theory, tiling theory and geometry but will consider other topics as well. Research Interests: Mathematical modeling, theoretical ecology, population biology, differential equations, dynamical systems. My research uses mathematical models to uncover the marriage, complex mechanisms generating ecological dynamics, and Essay about Supreme and Affirmative Action when applicable emphasis is placed on evaluating intervention programs. In Romeo And Juliet. My research is in various ecological areas including ( I ) invasive species management by using mathematical and economic models to evaluate the costs and benefits of control strategies, and ( II ) disease ecology by evaluating competing mathematical models of the transmission dynamics for both human and wildlife diseases.

Possible thesis topics: 1) Mathematical modeling of invasive species. 2) Mathematical modeling of vector-borne or directly transmitted diseases. 3) Developing mathematical models to warren commision, manage vector-borne diseases through vector control. 4) Other relevant topics of in romeo and juliet, interest in mathematical biology. Each topic (1-3) can focus on a case study of a particular invasive species or disease, and/or can investigate the effects of ecological properties (spatial structure, resource availability, contact structure, etc.) of the thank you ma'am, system. Possible colloquium topics : Any topics in applied mathematics, especially those related to biology. Research interests: Commutative algebra and algebraic geometry. I am primarily interested in positive characteristic commutative algebra. Marriage In Romeo And Juliet. More specifically, I study types of invariants which allow one to measure the singularities of a ring or an algebraic variety abstractly. Thank. These techniques include the marriage in romeo and juliet, multiplier and test ideal, tight closure, F-signature, and the Hilbert-Kunz Multiplicity.

In addition, I often use these tools to relate the singularities of a variety to a general hypersurface and tale of two vice-versa (for example, studying a surface by studying most of the marriage in romeo, curves contained within it). Possible thesis topics: How do singularities restrict to a hypersurface? g. Finjective or F-rational singularities. Behavior of singularities in flat families. Open questions pertaining to the test ideal and non-F-pure ideal. Measuring the smallest degree hypersurfaces through a given collection of points. This list is not exclusive, and broader topics in commutative algebra or algebraic geometry are encouraged. Possible colloquium topics: Any topics in algebra and especially commutative algebra or algebraic geometry.

Possible colloquium topics: Any topic in abstract algebra or number theory. Richard De Veaux (On Leave 2017-2018) Research interests: Statistics. My research interests are in both statistical methodology and in statistical applications. For the langston hughes, first, I look at different methods and try to understand why some methods work well in marriage and juliet particular settings, or more creatively, to Essay on Aquaponics: and Environmental, try to come up with new methods. For the marriage and juliet, second, I work in Supreme Action collaboration with an investigator (e.g. scientist, doctor, marketing analyst) on a particular statistical application.

I have been especially interested in problems dealing with large data sets and the associated modeling tools that work for these problems. Possible thesis topics: Human Performance and Aging. I have been working on models for and juliet assessing the effect of age on performance in running and swimming events. Of Two. There is still much work to marriage, do. So far Ive looked at masters swim data and a handicapped race in California, but there are world records for each age group and every events in running and swimming that Ive not incorporated. Masters events in running would be another source for data. Social Networks and unstructured data.

Classical statistics deals with quantitative and categorical variables, but what happens when the variables have even less structure? Using text mining and other recent work from statistics and machine learning can we figure out how people feel about a topic by analyzing what they say as well as their actions? Variable Selection. How do we choose variables when we have dozens, hundreds or even thousands of potential predictors? Various model selection strategies exist, but there is still a lot of work to be done to find out which ones work under what assumptions and langston hughes you ma'am conditions.

Text Mining. Statistics has lots of models that help predict outcomes for data that are numerical. But what if the data are text? What can we say about documents based only on the words they contain? Can we use comments in surveys to help answer questions traditionally modeled only by quantitative variables? Problems at the interface. In this era of Big Data, not all methods of classical statistics can be applied in practice. And Juliet. What methods scale up well, and what advances in computer science give insights into the statistical methods that are best suited to tale brother, large data sets? Applying statistical methods to problems in science or social science. In collaboration with a scientist or social scientist, find a problem for and juliet which statistical analysis plays a key role. Possible colloquium topics:

Topics in statistics, such as: Social Networks and tale unstructured data. Applying statistical methods to problems in science or social science. Research interest: Geometry and Number Theory. I work in algebraic and in romeo and juliet differential geometry and in number theory. I am interested in the geometry of functions (polynomials for algebraic geometry and differentiable functions for differential geometry) and in tale brother the Hermite problem (which asks for ways to represent real numbers so that interesting algebraic properties can be easily identified). Possible thesis topics:

Generalizations of marriage in romeo, continued fractions. Using algebraic geometry to study real submanifolds of complex spaces. Possible colloquium topics: Any interesting topic in mathematics. Leo Goldmakher (On Leave Fall 2017) Research interests: Number theory and arithmetic combinatorics.

Im interested in quantifying structure and important in netball randomness within naturally occurring sets or sequences, such as the prime numbers, or the sequence of in romeo, coefficients of a continued fraction, or a subset of a vector space. Doing so typically involves using ideas from analysis, probability, algebra, and combinatorics. Possible thesis topics: Anything in number theory or arithmetic combinatorics. Possible colloquium topics: Im happy to advise a colloquium in any area of math.

Research interest and commision possible thesis topics : Representation theory, enumerative and algebraic combinatorics, graph theory, and poset theory. Possible colloquium topics : Social networks and other complex networks, algebra, representation theory, combinatorics (enumerative and algebraic), graph theory, poset theory, and discrete mathematics. Research interests: I work broadly in statistical methodology and applications. My current work involves the study and development of statistical models that can uncover structure and patterns in data specifically in longitudinal and in romeo spatial data that have inherent dependence. Additionally, I work in collaboration with scientists in langston hughes thank you ma'am a variety of fields such as epidemiology and environmental science to apply statistical methods to answer scientific research questions. Possible thesis topics: Cluster analysis for longitudinal data and functional data. Regression trees for marriage longitudinal data. Methodology for estimating health impacts of chemical mixture exposure. Applying statistical methods to real data sets in innovative ways, usually in collaboration with a scientist or social scientist. Possible colloquium topics:

Any topics in statistics, such as. 1) Data Mining techniques such as Cluster analysis, Classification, Regression Trees. 2) Longitudinal or spatial methodology. 3) Applying statistical methods to real data sets in of two innovative ways. Research interests: Dynamical systems, ordinary differential equations, mathematical modelling, control theory, evolutionary dynamics. Possible thesis topics: Mathematical modelling using dynamical systems and differential equations. Possible colloquium topics: Any topics in mathematics, dynamical systems, mathematical models in life sciences, engineering, and other fields, applied mathematics in general. Possible thesis topics:

Methods for Categorical Data Analysis. Possible colloquium topics: Any topic in statistics, such as: Exact methods for categorical data. Simultaneous Inference and Multiple Comparisons. Research Interests : Commutative and Homological Algebra. Homology and in romeo and juliet cohomology groups are used to measure the size and shape of algebraic objects like commutative rings or topological spaces.

Lately, my research has focused on understanding the vanishing of certain cohomology groups. As a result I also have a growing interest in algebraic topology and the representation theory of finite dimensional algebras. Possible Colloquium topics: Id be happy to advise any topics in of two Algebra. Research interests: Commutative Algebra. In Romeo And Juliet. I study algebraic structures called commutative rings. Langston Hughes You Ma'am. Specifically, I have been investigating the relationship between local rings and their completion. One defines the completion of a ring by first defining a metric on and juliet, the ring and then completing the ring with respect to commision, that metric. Marriage And Juliet. I am interested in what kinds of algebraic properties a ring and its completion share. This relationship has proven to be intricate and quite surprising.

I am also interested in commision the theory of tight closure, and Homological Algebra. Possible thesis topics: Topics in Commutative Algebra including: What prime ideals of C[[x1,,xn]] can be maximal in the generic formal fiber of a ring? More generally, characterize what sets of prime ideals of a complete local ring can occur in the generic formal fiber.

2. Characterize what sets of prime ideals of a complete local ring can occur in formal fibers of ideals with height n where n ?1. 3. Characterize which complete local rings are the completion of an excellent unique factorization domain. 4. Compute the tight closures of marriage, specific ideals in rings. 5. Explore the relationship between the formal fibers of R and S where S is why is important a flat extension of R. For which ideals in excellent rings does tight closure and completion commute? Possible colloquium topics: Any topics in mathematics and especially commutative algebra/ring theory. For more information and references, see http://www.williams.edu/Mathematics/sjmiller/public_html/index.htm. Research interests : Analytic number theory, random matrix theory, probability and statistics, graph theory. My main research interest is in the distribution of zeros of L-functions.

The most studied of in romeo, these is the Riemann zeta function, Sum_ 1/n^s. The importance of Essay about Supreme and Affirmative, this function becomes apparent when we notice that it can also be written as Prod_ 1 / (1 1/p^s); this function relates properties of the primes to those of the integers (and we know where the integers are!). It turns out that the properties of zeros of L-functions are extremely useful in attacking questions in number theory. Interestingly, a terrific model for marriage in romeo and juliet these zeros is given by important, random matrix theory: choose a large matrix at random and study its eigenvalues. This model also does a terrific job describing behavior ranging from heavy nuclei like Uranium to bus routes in Mexico! Im studying several problems in random matrix theory, which also have applications to graph theory (building efficient networks). And Juliet. I am also working on several problems in probability and statistics, especially (but not limited to) sabermetrics (applying mathematical statistics to baseball) and Benfords law of digit bias (which is often connected to fascinating questions about equidistribution). Many data sets have a preponderance of first digits equal to 1 (look at why is speed important, the first million Fibonacci numbers, and youll see a leading digit of 1 about 30% of the and juliet, time). In addition to being of theoretical interest, applications range from the IRS (which uses it to detect tax fraud) to computer science (building more efficient computers). Essay About Supreme Court And Affirmative. Im exploring the subject with several colleagues in in romeo fields ranging from why is speed in netball accounting to engineering to the social sciences. Possible thesis topics:

Theoretical models for marriage and juliet zeros of elliptic curve L-functions (in the number field and function field cases). Studying lower order term behavior in why is speed in netball zeros of L-functions. Studying the distribution of eigenvalues of sets of random matrices. Exploring Benfords law of digit bias (both its theory and applications, such as image, voter and tax fraud). Propagation of viruses in networks (a graph theory / dynamical systems problem). Sabermetrics. Additive number theory (questions on sum and in romeo and juliet difference sets). Possible colloquium topics:

Theoretical models for zeros of elliptic curve L-functions (in the number field and function field cases). Studying lower order term behavior in zeros of L-functions. Studying the distribution of media dependency theory, eigenvalues of marriage in romeo, sets of why is important in netball, random matrices. Exploring Benfords law of digit bias (both its theory and marriage in romeo and juliet applications, such as image, voter and tax fraud). Propagation of viruses in networks (a graph theory / dynamical systems problem). Sabermetrics. Additive number theory (questions on sum and difference sets). Plus anything you find interesting. Commision. Im also interested in applications, and have worked on subjects ranging from accounting to computer science to geology to marketing. Research interests: I work in algebraic geometry, which is the study of solution sets to polynomial equations.

Such a solution set is marriage and juliet called a variety. In particular, I focus on tropical geometry, which is a skeletonized version of algebraic geometry. We take a classical variety and tropicalize it, giving us a tropical variety, which is a piecewise-linear subset of Euclidean space. Tropical geometry combines combinatorics and discrete geometry with classical algebraic geometry, and allows for developing theory and computations that tell us about the classical varieties. I also study computational algebraic geometry, which uses various algorithmic tools to better study the geometry of varieties. Im especially interested in on Aquaponics: The Physical and Environmental Benefits this area when working over non-Archimedean fields, like the p-adics. Possible thesis topics: Anything related to the fields of marriage and juliet, tropical and algebraic geometry, or non-Archimedean fields. About Supreme Court And Affirmative Action. Here are a few example questions/topics. Given a subset of marriage, Euclidean space that looks like a tropicalization, when does it actually arise as the thank you ma'am, tropicalization of an algebraic variety? Given the marriage in romeo and juliet, equations for an algebraic variety, find a tropicalization that preserves the most. information about the hughes you ma'am, curve. In Romeo. (Such a tropicalization is called faithful.)

A tropical curve is a finite graph with lengths on each edge. Which such graphs arise as tropical. curves, under various restrictions? For instance, with the tropical curve being embedded in the Euclidean plane. Study the brother, combinatorics of marriage, higher-dimensional tropical varieties.

For instance, a tropical surface of. degree 4 contains a distinguished polyhedron with at most 63 facets. Media Dependency. Which polyhedra are possible? When tropicalizing a variety over the complex numbers, there are intermediate objects between the. variety and the tropical variety called amoebas. What can we say about their geometry? Many results in classical algebraic geometry have analogs in tropical geometry that do not trivially follow from the in romeo and juliet, original result. Prove such results in the tropical world, and study how the classical and tropical results interact. An algebraic variety is defined by an ideal in a polynomial ring. How can we find nice sets of.

generators for this ideal? What do these generators tell us about the associated tropical variety? Many objects that arise in linear algebra (such as pairs of commuting matrices) can be described. using polynomial equations. How can we find nice collections of generating polynomials? What do they let us compute about the langston hughes thank you ma'am, varieties? Develop algorithms for computing properties of algebraic and/or tropical varieties. Possible Colloquium topics: Im happy to advise a talk in any area of in romeo, math, but would be especially excited about talks related to algebra, geometry, or number theory. For instance, there are many results in classical algebraic geometry (about the geometry of plane curves, for instance) that would be perfect for a colloquium. Allison Pacelli (On Leave Spring 2018) Research interests: Algebraic Number Theory and Math Education.

The Fundamental Theorem of Arithmetic states that the ring of integers is a unique factorization domain, that is, every integer can be uniquely factored into a product of tale, primes. In other rings, there are analogues of prime numbers, but factorization into primes is not necessarily unique! In order to determine whether factorization into primes is unique in the ring of marriage in romeo, integers of a number field or function field, it is useful to study the associated class group the group of equivalence classes of ideals. The class group is trivial if and only if the ring is a unique factorization domain. Theory. Although the study of class groups dates back to marriage in romeo and juliet, Gauss and Essay and Environmental Benefits played a key role in the history of Fermats Last Theorem, many basic questions remain open. I am also very interested in the beautiful analogies between the integers and polynomials over a finite field and between number fields and function fields. 1 ) Investigating the divisibility of marriage in romeo and juliet, class numbers of quadratic fields and higher degree extensions. 2) Investigating the hughes, structure of the class group. 3) Exploring polynomial analogues of marriage in romeo, theorems from number theory concerning sums of powers, primes, divisibility, and arithmetic functions.

4) Topics in math education. Possible colloquium topics: Im interested in advising any topics in algebra, number theory, or mathematics and politics, including voting and fair division. Research interests : Ergodic theory and measurable dynamics; in particular mixing properties and Essay and Environmental Benefits rank one examples, and infinite measure-preserving and nonsingular transformations and group actions. Measurable dynamics of transformations defined on the p-adic field. And Juliet. Measurable sensitivity. Fractals. Fractal Geometry. Possible thesis topics: Ergodic Theory. Ergodic theory studies the probabilistic behavior of warren, abstract dynamical systems. Dynamical systems are systems that change with time, such as the motion of the in romeo, planets or of a pendulum.

Abstract dynamical systems represent the state of a dynamical system by a point in a mathematical space (phase space). In many cases this space is assumed to be the unit interval [0,1) with Lebesgue measure. One usually assumes that time is measured at discrete intervals and so the law of motion of the system is represented by a single map (or transformation) of the phase space [0,1). In this case one studies various dynamical behaviors of these maps, such as ergodicity, weak mixing and of two brother mixing. I am also interested in and juliet studying the dependency theory, measurable dynamics of systems defined on marriage and juliet, the p-adics numbers. Supreme Court Action. The prerequisite is a first course in real analysis. Topological Dynamics. Dynamics on in romeo and juliet, compact or locally compact spaces. Probability.

Markov shifts, information theory. Possible colloquium topics: Topics in mathematics and in particular: Any topic in warren commision measure theory. And Juliet. See for example any of the first few chapters in Measure and Category by J. Oxtoby, possible topics include the Banach-Tarski paradox, the Banach-Mazur game, Liouville numbers and s-Hausdorff measure zero. 2. Topics in warren commision applied linear algebra and functional analysis. 3. Fractal sets, fractal generation, image compression, and fractal dimension. 4. P-adic dynamics. P-adic numbers, dynamics on the p-adics. 5. Banach-Tarski paradox, space filling curves. Research interests: Applied mathematics, mathematical modeling, dynamical systems, ordinary and partial differential equations, numerical computation, topological data analysis, data science.

My research uses diverse mathematical tools to marriage in romeo, examine complex systems in the natural and social sciences. I am most interested in systems that form patterns or display other sorts of Essay about Supreme Court and Affirmative, collective behavior. Examples include: biological aggregations such as insect swarms and marriage in romeo and juliet fish schools; chemical reaction-diffusion systems; fluid surface waves; spatial vegetation patterns in ecology; gender representation in on Aquaponics: The Physical Benefits STEM fields; and much more. Possible thesis topics: 1) Topological data analysis of in romeo, agent-based models. Agent based models may display complex dynamics that can be difficult to hughes, analyze and predict. However, if we view the data output by such models through a topological lens, does the behavior become simpler?

This project would involve learning some mathematical modeling, computational persistent homology, and possibly some analysis and and juliet machine learning. 2) Modeling vegetation patterns. Thank You Ma'am. Data that has been remotely sensed via satellites reveals striped vegetation patterns covering large swaths of land in north Africa and other regions. This project would involve learning about and possibly creating mathematical models for these patterns, tying the models closely to large data sets, and and juliet using the models to assess the factors most responsible for the formation of the patterns. 3) Locust swarms. The largest, most destructive biological aggregations are locust swarms. In order to understand, predict, and perhaps even influence these swarms, we need accurate mathematical models. Why Is Important In Netball. This project would involve learning a bit of biology, refining dynamical systems based models of marching locust swarms, doing some high-performance computing to simulate these groups, and analyzing the data. 4) Data science, gender, and STEM. Women are underrepresented at nearly every level of the profession in STEM fields.

In this project, we will use data science tools to assess patterns of gender representation in marriage in romeo various subfields and at various levels of professional development. Possible colloquium topics: Applied mathematics, including mathematical modeling, applied dynamical systems, applied differential equations, computation, topological data analysis, and more. Research interests: Mathematical Physics and Functional Analysis. I am interested in the study of the spectral properties of various operators arising from mathematical physics especially the Essay, Schrodinger operator. In particular, I am investigating the distribution of the eigenvalues for special classes of self-adjoint and unitary random matrices. Possible thesis topics: Topics in mathematical physics, functional analysis and probability including: Investigate the spectrum of the and juliet, Schrodinger operator. Possible research topics: Find good estimates for the number of bound states; Analyze the asymptotic growth of the number of bound states of the media dependency theory, discrete Schrodinger operator at marriage, large coupling constants. Study particular classes of orthogonal polynomials on the unit circle. Investigate numerically the statistical distribution of the eigenvalues for various classes of random CMV matrices.

Study the general theory of point processes and its applications to dependency theory, problems in mathematical physics. Possible colloquium topics: Any topics in mathematics, mathematical physics, functional analysis, or probability, such as: The Schrodinger operator. Orthogonal polynomials on the unit circle. Statistical distribution of the eigenvalues of random matrices. The general theory of point processes and its applications to problems in mathematical physics. Research interests: Statistics, both application and methodology. I work with scientists and engineers in marriage in romeo a range of areas on data sets of interest to them, adapting and warren commision developing statistical methods to answer research questions.

Currently I am particularly interested in clustering and classification problems, high-dimensional data, time series, and spatial data. Possible thesis topics: Clustering and distance. When clustering a dataset, both the clustering algorithm and marriage in romeo the measurement of dissimilarity between observations are important. How do these interact, and on Aquaponics: and Environmental Benefits which methods are best suited to marriage in romeo and juliet, which kinds of data?

Spatial/spatio-temporal analysis with non-Euclidean distance. In a transportation network or a city, distances arent as the crow flies. How can we analyze dependence between points in this context? Concise expressions of complicated data. How can we characterize complex data types like multivariate functional data, high-dimensional data with dependence, or nonstationary time series? New combinations of statistical methods and why is important real data sets, in collaboration with a scientist or social scientist. Possible colloquium topics: Statistical methodology, application, and education, including but not restricted to subjects related to in romeo, the topics above. Research Interests: Bayesian statistics.

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