{"id":15229,"date":"2025-08-28T10:24:29","date_gmt":"2025-08-28T15:24:37","guid":{"rendered":"https:\/\/uwm.edu\/webid2-test-lsweb\/?page_id=7448"},"modified":"2026-03-04T16:38:39","modified_gmt":"2026-03-04T22:38:39","slug":"phd-program","status":"publish","type":"page","link":"https:\/\/uwm.edu\/math\/students\/graduate\/phd-program\/","title":{"rendered":"PhD Program"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\" id=\"h-doctoral-programs\">Doctoral Programs<\/h2>\n\n\n<ul class=\"uwm-p-programs uwm-p-posts uwm-c-list--cleanlist uwm-c-list--border\">                             <li>\n                                            <figure class=\"post-image\">\n                            <img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2021\/11\/Doctoral_hero_239530172-150x150.webp\" class=\"attachment-thumbnail size-thumbnail\" alt=\"Solving math question on a paper\" \/>                        <\/figure>\n                                         <div class=\"post-content\">\n                        <a class=\"post-title\" href=\"https:\/\/uwm.edu\/math\/academics\/mathematics-phd\/\" rel=\"bookmark\">Mathematics, PhD<\/a>                        \n                                                    <div class=\"post-subtitle\">\n                                Doctoral<span class=\"uwm-p-card--subtitle-detail\">On Campus<\/span>                            <\/div>\n                                            <\/div>\n                <\/li>\n                <\/ul>\n\n\n<p>For more information about the PhD program, please contact the&nbsp;<a href=\"https:\/\/uwm.edu\/math\/people\/willenbring-jeb\/\">Associate Chair of the Graduate Program<\/a>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"a0\">Admission<\/h2>\n\n\n\n<p>Applicant must meet&nbsp;<a href=\"https:\/\/uwm.edu\/graduateschool\/admission\/\">Graduate School<\/a>&nbsp;requirements plus departmental requirements as given for admission to the master\u2019s program. A master\u2019s degree is not a prerequisite for admission to this PhD program.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"a1\">Reapplication<\/h2>\n\n\n\n<p>A student who receives the master\u2019s degree must formally reapply for admission to the Graduate School before continuing studies toward the PhD.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"a2\">Major Professor as Advisor<\/h2>\n\n\n\n<p>The student must have a major professor to advise and supervise the student\u2019s studies as specified in Graduate School regulations. The entering graduate student is assigned a temporary advisor by the Department Graduate Program Coordinator.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"a3\">Course of Study<\/h2>\n\n\n\n<p>Minimum degree requirement is 54 graduate credits beyond the bachelor\u2019s degree, at least 27 of which must be earned in residence at 51ÁÔÆæ. The student, in consultation with the major professor, must select both a primary and a secondary area of specialization. The primary area may be chosen from one of the following&nbsp;six&nbsp;fields with minimum credit requirements as shown. The secondary area may be chosen from another of these fields or may be chosen from another appropriate department. Minimum course requirements for all work in both areas of specialization require approximately two full years of study.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/uwm.edu\/math\/academics\/program-phd\/\">Actuarial Science<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/uwm.edu\/math\/students\/graduate\/phd-program\/phd-algebra-field\/\">Algebra<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/uwm.edu\/math\/students\/graduate\/phd-program\/phd-analysis\/\">Analysis<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/uwm.edu\/math\/students\/graduate\/phd-program\/phd-applied-mathematics\/\">Applied and Computational Mathematics<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/uwm.edu\/math\/students\/graduate\/phd-program\/phd-probability-statistics\/\">Probability &amp; Statistics<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/uwm.edu\/math\/students\/graduate\/phd-program\/phd-topology\/\">Topology<\/a><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"a4\">Computer Proficiency<\/h2>\n\n\n\n<p>The student shall pass an examination on a higher programming language and\/or other appropriate advanced computer skills; the examinations administered by the Department\u2019s Computer Committee. The Computer Committee may accept advanced computer science course work in lieu of the examination.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"a5\">Residence<\/h2>\n\n\n\n<p>The student must meet minimum Graduate School residence requirements.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"a6\">Doctoral Preliminary Examination<\/h2>\n\n\n\n<p>When the student is sufficiently prepared \u2014 normally when the student has earned 24 credits in specified areas above the 700 level \u2014 a doctoral preliminary examination to determine the student\u2019s knowledge and achievement is taken. For students in mathematics, the exam evaluates the student\u2019s general knowledge of mathematics, as well as the student\u2019s knowledge of the major area of concentration. Students must pass this examination to continue in the program. With permission of the examination committee, the student may repeat this examination once. If the student does not have a master\u2019s degree in mathematics before this examination, the committee will determine whether the student\u2019s performance is sufficient to qualify for the master\u2019s degree.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"a7\">Doctoral Dissertation Proposal Hearing<\/h2>\n\n\n\n<p>After passing the doctoral preliminary examination, the student participates in a doctoral dissertation proposal hearing. At this hearing, the student is examined on the student\u2019s chosen area of research and a dissertation topic is approved.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"a8\">Dissertation<\/h2>\n\n\n\n<p>The primary requirement for the PhD in mathematics is the candidate\u2019s completion, under the supervision of the Department advisor, of an original and significant mathematical investigation presented in the form of a dissertation. The investigation is to be in the field of algebra, analysis, applied mathematics, probability and statistics, or topology. A dissertation for the industrial mathematics field must involve an industrial problem requiring a mathematical solution.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"a9\">Dissertation Defense<\/h2>\n\n\n\n<p>The candidate must, as the final step toward the degree, present a colloquium based on the dissertation and must pass an oral examination in defense of the dissertation. If the candidate does not successfully defend a thesis within five years of admission to candidacy, the candidate may be required to take another doctoral preliminary examination and be readmitted to candidacy.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"a10\">Time Limit<\/h2>\n\n\n\n<p>All degree requirements must be completed within ten years from the date of initial enrollment in the doctoral program.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"a11\">Minor Area for Other PhD Majors<\/h2>\n\n\n\n<p>A doctoral student planning a physical science major other than mathematics may fulfill requirements for mathematics as the minor area of concentration by completing 12 credits of approved mathematics courses with a grade of B or better, at least 6 credits of which must be in courses 700 or above.<\/p>\n\n\n\n<p>A doctoral student planning a non-physical science major may fulfill requirements for mathematics as the minor area of concentration by completing 12 credits with a grade of B or better in approved mathematics courses 300 or above.<\/p>\n\n\n\n<p>For additional information on the PhD, see the Graduate School&nbsp;<a href=\"https:\/\/uwm.edu\/graduateschool\/students\/academic-policies-and-procedures\/doctoral-resources\/doctoral-requirements\/\">Doctoral Requirements<\/a>&nbsp;page.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"a12\">Graduate Grievance Procedures<\/h2>\n\n\n\n<p>Federal law and 51ÁÔÆæ policy require programs and departments to have procedures for graduate students to appeal academic decisions such as grades or scholastic standing. These procedures ensure the protection of students\u2019 rights. These pages serve as a reference on procedures for graduate student academic appeals.<\/p>\n\n\n\n<p><a href=\"https:\/\/uwm.edu\/graduateschool\/students\/academic-policies-and-procedures\/\">51ÁÔÆæ Graduate School Academic Appeal Procedures<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Doctoral Programs For more information about the PhD program, please contact the&nbsp;Associate Chair of the Graduate Program. Admission Applicant must meet&nbsp;Graduate School&nbsp;requirements plus departmental requirements as given for admission to the master\u2019s program. A master\u2019s degree is not a prerequisite &hellip;<\/p>\n","protected":false},"author":1272,"featured_media":0,"parent":15247,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":"","uwm_wg_additional_authors":[]},"class_list":["post-15229","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Mathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/uwm.edu\/math\/students\/graduate\/phd-program\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"PhD Program\" \/>\n<meta property=\"og:description\" content=\"Doctoral Programs For more information about the PhD program, please contact the&nbsp;Associate Chair of the Graduate Program. 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